Simplify this power raised to a power: (54)4

Answers

Answer 1

The value of [tex]$\left(5^4\right)^4$[/tex] simplified to [tex]$5^{16}$[/tex], meaning x = 16.

To simplify [tex]$\left(5^4\right)^4$[/tex], we first expand it as [tex]$5^4 \cdot 5^4 \cdot 5^4 \cdot 5^4$[/tex], using four factors of [tex]$5^4$[/tex].

Applying the product of powers rule, we add the exponents together: [tex]$5^{4+4+4+4}$[/tex]. This simplifies to [tex]$5^{16}$[/tex].

In essence, raising a power to another power involves multiplying the exponents.

In this case, we have four factors of [tex]$5^4$[/tex], which means we multiply 4 by 4, resulting in [tex]$5^{16}$[/tex].

So, the value of x in the simplified power [tex]$5^x$[/tex] is 16.

Complete Question:

Simplify this power raised to a power: [tex]$\left(5^4\right)^4$[/tex]

1. Expand using four factors of [tex]$5^4$[/tex] : [tex]5^4 \cdot 5^4 \cdot 5^4 \cdot 5^4[/tex]

2. Apply the product of powers rule: [tex]5^{4+4+4+4}[/tex]

3. Simplify: [tex]5^x[/tex]

What is the value of x in the simplified power?

Related Questions

|12-14|-|15|. How do you figure this equation out anyone?

Answers

As a rule, the value inside absolute ( l l )

will always be positive. So,

l12-14l-l15l = l-2l-l15l = 2 - 15 = -13 Ans.

What is the surface area of this rectangular prism? Rectangular prism with length labeled 12 meters, height labeled 3 meters, and width labeled 4 meters. m²

Answers

the answer to the question is 344

There are 6 sides on the rectangular prism. Two sides have length × width dimension. Two sides have length × height dimension. Two sides have width × height dimension. To find the surface area, we need to find the sum of the area of the six sides.

sa = (2 × l × w) + (2 × l × h) + (2 × w × h)
sa = (2 × 12 × 4) + (2 × 12 × 3) + (2 × 4 × 3)
sa = 96 + 72 + 24
sa = 192

The surface area is 192 m²

If the area of a circle is 12.56 square centimeters,then what is the radius

Answers

A= pi r^2
12.56=pi r^2
12.56/pi=r^2
3.997=r^2
√3.997=r
r=1.99
Radius is 1.9

ratios equivalent to 2:6.

Answers

The ratios equivalent to 2:6 are: 9:3 and 7:21

The given ratio is [tex]$2:6$[/tex]. To find equivalent ratios, you can multiply or divide both parts of the ratio by the same non-zero number. Let's analyze the options:

1. 10:7

To check if this is equivalent to 2:6, divide both parts by 2:

[tex]\[\frac{10}{2} : \frac{7}{2} = 5: \frac{7}{2}\][/tex]

This is not equivalent.

2. 9:3

To check if this is equivalent to 2:6, divide both parts by 3:

[tex]\[\frac{9}{3} : \frac{3}{3} = 3: 1\][/tex]

This is equivalent.

3. 7:21

To check if this is equivalent to 2:6, divide both parts by 7:

[tex]\[\frac{7}{7} : \frac{21}{7} = 1: 3\][/tex]

This is equivalent.

Therefore, the ratios equivalent to 2:6 are:

2:6

9:3

7:21

A typical stone on the lowest level of the Great Pyramid in Egypt was a rectangular prism 5 feet long by 5 feet high by 6 feet deep and weighed 15 tons. What was the volume of the average stone? How much did one cubic foot of the stone way?

Answers

To find the volume, you need to do length times width times heightSO you have to do 5 times 5 times 6The volume is 150 cubic feetSince 150 cubic feet of this rectangular prism is 15 tonsyou can do 15 divided by 150so one cubic feet of this stone sculpture weight 0.1 tons

sally purchased a rectangular table for her drawing room. The sides of the table are 24 inches and 18 inches. What is the diagonal length of the table?
HELP FOR BRAINLIEST

Answers

C. 30 in would be your answer

A bird’s wing span is the distance from the tip of one wing to the tip of the other. A California condor can have a wingspan of 9 1/2 feet. A big hummingbird can have a wingspan of 2 1/2 inches. How much longer is the California condors wingspan then the
Bee hummingbirds?

Answers

first convert the condors wingspan into inches

12x 9.5=114
convert hummingbird inches to decimal
2.5
subtract for difference
114-2.5=111.5

I don’t know how to do it

Answers

Basically, we need to find the diagonal of the square. Once we have the diagonal, we need to find if it's more or less than 11 cm, which is diameter of the circle.
This is the formula we'll use:
a²+b²=c²
Since it's a square, a and b are the same.
7²+7²=c²
49+49=c²
98=c²
√98=c
c=9.8995
So, the diagonal is 9.8995
9.8995<11

So, since the diagonal of the square is 9.8995 cm, it is less than the circumference of the circle meaning that it will fit in to the circle without touch the circle's circumference.

This room has soda stains on the floor. Tyler needs a bigger rug than this to cover it. Perform a dilation on the blue rug to cover the stain. Be sure to specify the scale factor used.

Answers

You could scale the blue rug by 2 making it a 4 by 4.
Scaling it by anymore will work bit scaling it by 2 will be the smallest dilation that will satisfy this problem.

diolate the rug to twice the size of the blue rug

Choose the correct simplification of the expression g to the power of 5 times h to the power of 4 all over g to the second power times h to the third power.

A g7h
B g3h
C g7h7
D g to the third power over h to the seventh power

Answers

Your problem looks like this:
[tex] \frac{ {g}^{5} \times {h}^{4} }{ {g}^{2} \times {h}^{3} } [/tex]
One rule of indicies is that when you divide numbers with indicies and the same base, you minus the indicies.
This means that you just need to do
[tex] {g}^{5} \div {g}^{2} = {g}^{3} [/tex]
and
[tex] {h}^{4} \div {h}^{3} = {h}^{1} = h[/tex]
Therefore, your answer is
[tex] {g}^{3} h[/tex]

Answer:

g3h

Step-by-step explanation:

I got it right

Which number is written in scientific notation?

6x10^11
12x10^-8
0.2x10^5
8x7^2

Answers

For this case, the first thing you should know is that a number in scientific notation is a number of the form:
[tex]a * 10 ^ b [/tex]
Where,
a: is a number between 1 and 10
b: is the exponent of the scientific notation.
We have then that the number that is in scientific notation written correctly is:
[tex]6x10 ^ {11}[/tex]
Answer:
[tex]6x10 ^ {11}[/tex]

Answer: [tex]6\times10^{11}[/tex]

Step-by-step explanation:

We know that the scientific notation is a technique to write a very large or a very small number in the product of a decimal form of number [generally between 1 and 10]and powers of ten.

[tex]6\times10^{11}\\\text{ It is in scientific form}\\\\12\times10^{-8}\\\text{It is not in scientific form, since} 12 >9\\\\0.2\times10^5\\\text{It is not in scientific form, since }0.2<1\\\\8\times7^2\\\text{ It is not in scientific form, since power of 10 is not there}[/tex]

Hence, the number written in scientific notation is [tex]6\times10^{11}[/tex]

The amount of money that Charlie saves each week is directly proportional to the amount he earns. Last week Charlie saved $32 on his earnings of $512. At the same rate, how much will Charlie save this week on his earnings of $448?

Answers

if k is a constant of proportionality then we know from last week that
512= k ·32 so k=512/32=16;

This week
448= k · amount he saved
448=16· amount he saved
amount saved=448/16=28

Answer $28

Answer:

$28.

Step-by-step explanation:

Let y represent of saved money and x represent amount of earned money.

We have been given that the amount of money that Charlie saves each week is directly proportional to the amount he earns.

We know that two proportional quantities are in form [tex]y=kx[/tex], where, k is constant of proportionality.

Substitute given values and solve for k:

[tex]32=k*512[/tex]

[tex]\frac{32}{512}=\frac{k*512}{512}[/tex]

[tex]\frac{1}{16}=k[/tex]

To find amount of saved money, we will substitute [tex]k=\frac{1}{16}[/tex] and [tex]x=448[/tex] in our equation.

[tex]y=\frac{1}{16}\cdot 448[/tex]

[tex]y=28[/tex]

Therefore, Charlie saved $28 in the given week.

simplify the radical expression square root of 64y^10h^5/16y^12h^5

Answers

We assume the variables y and h to be positive.

[tex] \sqrt{\dfrac{64y^{10}h^{5}}{16y^{12}h^{5}}} =[/tex]

[tex] = \sqrt{\dfrac{64}{16} \times \dfrac{y^{10}}{y^{12}} \times \dfrac{h^{5}}{h^{5}}} [/tex]

[tex] = \sqrt{4 \times \dfrac{1}{y^{2}} \times 1} [/tex]

[tex] = \sqrt{\dfrac{4}{y^{2}}} [/tex]

[tex] = \dfrac{2}{y} [/tex]

After the simplification of the given radial expression [tex]\sqrt{\frac{64}{16}(\frac{y^{10} }{y^{12} } )\frac{h^{5} }{h^{5} } }[/tex] we get [tex]\frac{2}{y}[/tex].

What is radical expression?

A radical expression is defined as any expression containing a radical ([tex]\sqrt{}[/tex]) symbol.

The term underneath the radical symbol is called the radicand.

How to solve radical expression?

To solve a radical expression, simply take the the square root of the radicand.

According to the given question, we have a radical expression

[tex]\sqrt{\frac{64y^{10}h^{5} }{16y^{12} h^{5} } }[/tex]

=[tex]\sqrt{\frac{64}{16}(\frac{y^{10} }{y^{12} } )\frac{h^{5} }{h^{5} } }[/tex] ([tex]\frac{x^{m} }{x^{n} } =x^{m-n}[/tex])

= [tex]\sqrt{4(\frac{1}{y^{2} })(1) }[/tex]

= [tex]\sqrt{\frac{4}{y^{2} } }[/tex]

= [tex]\frac{2}{y}[/tex]

Learn more about the radial expression here:

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help!!!!!!!! plz I need your help

Answers

-1/2X+3-4X+5+3/2X=-3X+8

What is the value of Fraction 1 over 2x3 + 3.4y when x = 3 and y = 4?

Answers

Answer:

27.1

Step-by-step explanation:

hope it helps!

Deb has of a brownie. She wants to divide it up into 's of a brownie so she can have it throughout the day. How many 's will she have?

Answers

She can enjoy her original 3/4 brownie divided into six equal parts, each constituting 1/8 of the delectable treat.

Deb possesses 3/4 of a brownie and intends to partition it into smaller portions, each equivalent to 1/8 of a brownie, allowing her to savor it throughout the day.

To determine the number of 1/8 portions she'll obtain, we can perform a simple division.

By dividing 3/4 by 1/8, we essentially multiply the numerator of 3/4 by the reciprocal of 1/8, which is 8/1.

This multiplication yields (3 * 8) / (4 * 1) = 24/4.

Simplifying further, we find that Deb will have 6 portions of 1/8 of a brownie.

Consequently, she can enjoy her original 3/4 brownie divided into six equal parts, each constituting 1/8 of the delectable treat.

for such more question on equivalent

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Question

Deb has 3/4 of a brownie. She wants to divide it up into 1/8 of a brownie so she can have it throughout the day. How many 1/8s will she have's will she have?

The store is 7⁄8 of a mile away from your house. You walked 1⁄5 of a mile towards the store before getting on the bus. If the bus went directly to the store, how many miles long was the bus ride?

Answers

27/ 40-gdhdjjdjdjdjdjdjjdj

27/40 miles long was the bus ride.

What is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

The store is 7⁄8 of a mile away from your house.

Distance covered by Walking = 1/5

and, the rest is covered by Bus.

So, the distance covered by Bus

= 7/8- 1/5

= 35/ 40- 8/40

= 27/40

Hence, 27/40 miles covered by Bus.

Learn more about Fraction here:

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help me please which one is the answer

Answers

The graph is skewed to the LEFT. There are fewer data plots to the left.
There are more values larger than there are smaller, so it is skewed left.

ANSWER: First choice: the graph is skewed left.

Hope this helps! :)

PLEASE HELP ME SOLVE WILL MARK AS BRAINLIEST IF ANSWERED CORRECTLY AMND SERIOUSLY

k/2+1-1k=-2k

Answers

We can simplify this equation and find the value of k.

k ÷ 2 + 1 - 1k = -2k
k ÷ 2 + 1 = -k
k + 1 = -2k
1 = -3k
k = -1/3

Answer: k = "- [tex] \frac{2}{3} [/tex]" ; or, write as: " -0.667 " .

_________________________________________________________
Given:

(k/2) + 1 - 1k = -2k ;
_________________________________________________________

Add "1k" to each side of the equation:

(k/2) + 1 - 1k + 1k = -2k + 1k ;

to get:

(k/2) + 1 = -1k ;

Multiply the ENTIRE EQUATION (both sides) by "2" ;
to eliminate the "fraction" ;

2 * [ (k/2) + 1 = -1k ] ;

to get:

k + 2 = -2k ;

Subtract "k" from each side of the equation;

k + 2 - k = -2k - k ;

to get:

2 = -3k ;

↔

-3k = 2 ;

Divide each side of the equation by "-3" ; to isolate "k" on one side of the equation ; & to solve for "k" ;

-3k / 3 = 2/-3 ;

to get:

k = - [tex] \frac{2}{3} [/tex] ; or, write as: " -0.667 "
______________________________________________

Kim paycheck was 257.20. She put 1/4 of her paycheck into a savings account and used 1/3 of what was left to pay bills.How much money does she have remaining from her paycheck

Answers

257.20 x 1/4 = 64.30
257.20 - 64.30 = 192.90

192.90 x 1/3 = 64.30
192.90 - 64.30 = 128.60

A vendor pays a rock band 1/3 of the total profit from T-shirts and sweatshirts sold at every concert. The vendor paid the rock band $726 after the last concert. If the profit from T-shirts sales was $1,632, what was the profit from sweatshirt sales?

Answers

Well, we know that the rock band receives 1/3 of the profits from sales of sweaters and T-shirts, so in this case, $726 was 1/3 of the profit for that particular concert.
Using this information, we know that is we multiply 1/3 by 3 we get 1 whole, so we also multiply $726 by 3 to get the value of all the profits:
$726×3= $2178
So, if $2178 was the total value of the profits and T-shirt profits were worth $1632, then the value of sweatshirt profits was $2178-$1632= $546
Therefore, your answer is $546

An exponential function f(x) is reflected across the y-axis to create function g(x). Which is a true statement regarding f(x) and g(x)?
A. The two functions have no points in common.

B. The two functions have the same initial value.

C. The two function have opposite output values of each other for any given input value.

D. The graph of the two functions would look exactly the same.

Answers

It's B, I'm doing my online school assignment and this was the correct answer.

I think the correct answer is b

What is the side length of a cube with a volume of 0.008 m3?

Answers

I'm sorry, I don't really know how to explain, but I don't want you to feel ignored? I don't know, maybe I'll come up with a good explanation later.

0.008=8/1000

Cube root of 8/cube root of 1000 = 2/10

2/10=1/5

The side length of the cube is 0.2 meters.

Hope this helps?

Answer:0.2

Step-by-step explanation:

if the least value the variable k can be is 12,which of the following inequalities best shows all the possible values of k

Answers

Answer:
k ≥ 12

Explanation:
We are given that the least possible value for k is 12.
This means that k can either be 12 or more.
Translating this into an inequality, we will find that the inequality is as follows:
k ≥ 12

Hope this helps :)

Answer:

Its K ≥ 12

Step-by-step explanation:

Hope this helps! Have a good day!:) and happy St. Patrick's day lol

What scale factor was applied to the first rectangle to get the result image?

Answers

I dont know what the images are but scale factor is is a number which scales, or multiplies, some quantity. Technically it is the number you have to multiply on each side that will get you the sides on the smaller or larger rectangle!!!

I hope it helps!!!
- Amana

Answer:

Step-by-step explanation: Add pic so ppl can help

A window washer cleaned 38 windows in 2 hours. At this rate, how many windows did he clean in 7 hours?

Answers

38:2=
19:1=
133:7
133 windows.

To solve this problem, we need to find the unit rate (the amount of windows cleaned per hour) and multiply by 7.

To find the unit rate, we need to divide 38 by 2:

38 / 2 = 19

Now, we need to multiply this by 7:

19 * 7 = 133

In 7 hours, the window washer can clean 133 windows.

Hope this helps!

What is the solution set?

3.3x−11.6>18.1

Enter your answer in the box.
Please answer fast thanks!

Answers

The solution set is (9, ∞).

To solve the inequality 3.3x-11.6>18.1, we need to isolate the variable x.

First, we can add 11.6 to both sides of the inequality to get 3.3x>29.7.

Then, we can divide both sides by 3.3 to solve for x: x>9.

We can express the solution set using interval notation as (9, ∞).

Therefore, The solution set is (9, ∞).

The solution set for the inequality 3.3x - 11.6 > 18.1 is x > 9, meaning x is greater than 9.

To solve the inequality 3.3x - 11.6 > 18.1, you can follow these steps:

1. Add 11.6 to both sides to isolate the term with x:

3.3x - 11.6 + 11.6 > 18.1 + 11.6

3.3x > 29.7

2. Now, divide both sides by 3.3. Remember, when you divide by a positive number, the inequality sign remains the same:

[tex]\[ \frac{3.3x}{3.3} > \frac{29.7}{3.3} \][/tex]

[tex]\[ x > \frac{29.7}{3.3} \][/tex]

x > 9

So, the solution set for the inequality 3.3x - 11.6 > 18.1 is x > 9.

Use the elimination method to solve the system of equations. 5x + 2y = −45x + 2y = −4 −5x + 3y = 19−5x + 3y = 19 (−2, 3)(−2, 3) There is no solution. There are an infinite number of solutions. (−4, 6)

Answers

It is (-2,3). x= -2 and y= 3.

You walk 2 miles in 1/
2 hour. At that rate, how long will it take you to walk 3 miles?

Answers

Hello!

1/2 = 0.5 as a decimal

0.5 ÷ 2 = 0.25

That means you walk 1 mile in 0.25 of an hour. Multiply this by three:

0.25 × 3 = 0.75

Answer:

It will take you 0.75 (or 3/4) hour to walk 3 miles.

The answer is:  " [tex] \frac{3}{4} [/tex] mi. " ; or, write as: " 0.75 mi. " .
__________________________________________

Write a proportion.
__________________________________________

[tex] \frac{(2) mi}{(0.5) h } = \frac{(3) mi.}{(x)h} [/tex] ;

Solve for "x" , [ (in units of "h"; (hours) ] ;

Note: "Cross-multiply" ;

Note: Given (a/b) = (c/d) ;   → ad = ab ; (b ≠ 0 ; d≠ 0) ;

→ 2x = (0.5 * 3) ;

→ 2x = 1.5 ;

Divide each side of the equation by "2" ;
to isolate "x" on one side of the equation; & to solve for "x" ;

→ 2x / 2 = 1.5 / 2 ;

to get:

→ x = 1.5 / 2 = 15/20 = (15÷5) / (20÷5) = 3/4 ;

or: → x = 1.5 / 2 = 15/20 = (15*5) / (20*5) = 75/100 = 75 ÷ 100 = 0.75 .
________________________________________________________

The answer is: " [tex] \frac{3}{4} [/tex] mi. " ; or, write as: " 0.75 mi. " .
________________________________________________________

in a packet of skittles,27% are red and 14% are blue. What percentage are not red?

Answers

You just need to find 100%-27%. That is 73%.

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