How do you find the product or quotient of powers with the same base?

Answers

Answer 1

Product: when you have the same base, the bases stay the same and you add the exponents together
Quotient: When dividing terms that also contain coefficients, divide the coefficients and then divide variable powers with the same base by subtracting the exponents (exponents from the denominator from numerator)

Related Questions

you flip two coins and roll a number cube what is the probability of flipping two tails and rolling as even number

Answers

P(tail) = 1/2
P(even number) = 1/2

P(tail, tail, even) = (1/2) (1/2) (1/2) = 1/8

Answer: 1/8

each coin flip has a 1/2 probability of landing on tails
so 1/2 x 1/2 = 1/4 probability of getting 2 tails

a single die has 3 even numbers so you have a 3/6 = 1/2 probability of getting an even number

multiply both together for probability of 2 tails and an even number: 1/4 x 1/2 = 1/8 probability

from a class containing 12 girls and 10 boys , students are to be selected to serve on a school advisory panel.

Answers

what is your question?

Which of the following numbers is between 0.40 and 0.47?
A) 7/50
B) 19/50
C) 21/50
D) 43/50

Answers

C is the correct answer

it's equal to 0.42

good luck

21/50 = 0.42

0.42 is between 0.40 and 0.47

answer
C) 21/50

Angles that are located outside the triangle are called (blank)

the sum of the exterior angles of a triangle is (blank) degrees

what are remote interior angles?

Answers

1. Exterior
2. 360°
3. remote interior angles are angles that would equal a exterior angle when added together

Enter the value of m when the expression 13.5x+m is equivalent to 2.7(5x-3.6)

Answers

we have that
13.5x+m =2.7(5x-3.6)
13.5x+m =2.7*5x-2.7*3.6
13.5x+m=13.5x-9.72

if the expression (13.5x+m) is equivalent to 13.5x-9.72
then
m=-9.72

the answer is
m=-9.72

anyone willing to help?

Answers

the answer is 6, simply put

The easiest way to do this is to find the area of this shape as a rectangle (4x2) then subtract the missing triangle (1x2) so you should get 8-2=6 with six being the area. Let me know if you need help

How to write 6.08 in expanded form

Answers

6.08=(6•1) + (0/10) + (8/100)

6.08 = (6 x 1) + (0/10) + (8/100)

a roll of one die has six possible outcomes. Use the product counting principle to determine the total number of outcomes for a toss of two die explain your response

Answers

There are 36 possible outcomes.

There are 6 outcome for the first die and 6 outcomes for the second die. The fundamental counting principle states that to find the total number of outcomes of these independent events, we multiply:

6(6) = 36

jalen deposited 3 370 into a savings account that earns 1.8% simple intrest each year calculate the intrest jalen earns after 4 years

Answers

Answer:

17.5

Step-by-step explanation:

Explain why the equation 5z + 2 = 5z has no solution.

Answers

[tex]5z + 2 = 5z \\ 5z - 5z = - 2 \\ 0 = - 2[/tex]

Answer : This is because when 5z minus 5z, it is nullified, with no way to determine the value of z. 5z - 5z = 0
That is why there is no solution for this equation.

Hope this helps. - M

Make x the subject of the formula y=ax

Answers

x = y/a (Isolate x by itself)

mrs.pappert left her house a quater past 7:00. At what time did she leave her house

Answers

She left her house at 7:15

A quarter past is 15 minutes past.

Mrs. Pappert left her house at 7:15.

Please help me! Show work thank you so much

Answers

A quadrilaterals angles = 360°

three angles are given, with the fourth as x: 90, 80, 74, x

Add all the angles together and set it equal to 360

90 + 80 + 74 + x = 360

Simplify. Combine like terms

x + 244 = 360

Isolate the x, subtract 244 from both sides

x + 244 (-244) = 360 (-244)

x = 360 - 244

x = 116

116° is your answer

hope this helps

help me in 25 no...I am not getting

Answers

25a. You are given a formula for height and told that the value of "r" in the formula is 19.6. You are asked to find the value of t such that h = 14.7. Substitute the given values and solve for t the way you solve any quadratic equation.
14.7 = 19.6t -4.9t²
4.9t² -19.6t +14.7 = 0 . . . . . put the equation in standard form
4.9(t² -4t +3) = 0 . . . . . . . . . factor out 4.9 to simplify the numbers
(t -1)(t -3) = 0 . . . . . . . . . . .. divide by 4.9 and factor
The solutions to this are ...
t = 1, t = 3

After 1 second, the ball will reach the height of 14.7 meters.

25b. This question asks you to find the value of t that make h = 0.
0 = 19.6t -4.9t² . . . . . . substitute the given numbers
0 = 4.9t(4 -t) . . . . . . . . factor
The solutions to this are ...
t = 0, t = 4

The ball will hit the ground after 4 seconds.

_____
As you can see from the graph below, a graphing calculator can be helpful for solving problems of this sort.

About what percent of the village women took between 48 and 56 minutes to collect one container of water?

Answers

The correct answer is 50%.

Approximately the middle 50% of data is contained inside the box of a box plot.

The range of the given whisker box plot is 64-45=19.The percent of the village women took between 48 and 56 minutes to collect one container of water lie in the middle box.The middle “box” represents the middle 50% of scores for the group .The middle 50% of scores fall within the inter-quartile range.The upper and lower whiskers represent scores outside the middle 50%.

About 50% of the village women took between 48 and 56 minutes to collect one container of water.

need help plzz.......according to the graph of H (w)......

Answers

The answer is B. Horizontal asymptote

Traverion wants to find the answer to the question “how much money does the average college professor make?” He surveys 50 professors from the university in his hometown. Which best describes whether or not the results of his survey would represent the responses from the entire propulatiob of college professors?

Answers

The results do not represent the population because the sample does not represent professors from different areas.

Traverion's survey would not represent the responses from the entire population of college professors.

Survey

A survey is conducted in order to collect a piece of specific information from a group of people chosen from the entire population who denotes the entire population for those questions.

Given information

Traverion wants to find the answer to the question “how much money does the average college professor make?” He surveys 50 professors from the university in his hometown.

Traverion wants to know “how much money does the average college professor make?”, so, in the survey, he wants to know the average for the entire population.The information is been collected from his town only, therefore, the data represents the average college professor's salary for his town only.

Hence, Traverion's survey would not represent the responses from the entire population of college professors.

Learn more about Survey:

https://brainly.com/question/13532910

a normal distribution pf data has a mean of 15 and a standard deviation of 4 how many standard deviations from the mean is 25

Answers

Answer:

c 2.5

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

Ms. Ito's art class used 2/3 of bottle of blue paint. If they used 1/4 as much red paint as blue paint. How many bottles of red paint did they use?

Answers

The answer is 1/6 bottles of red paint. For how I got it was I multiplied 2/3*1/4 which was 2/12 and when u simplify it, your answer is 1/6. Hope this helped!!!

Final answer:

The class used 2/3 of a bottle of blue paint and 1/4 as much red paint, which means they used 1/6 of a bottle of red paint.

Explanation:

To solve the problem presented by Ms. Ito's art class, we first need to determine the amount of blue paint used and then calculate the red paint used based on that amount. The class used 2/3 of a bottle of blue paint. Since they used 1/4 as much red paint as blue paint, we need to divide the amount of blue paint by 4 to find the amount of red paint used.

Calculation: (2/3) ÷ 4 = 2/3 ÷ 1/4 = (2×1)/(3×4) = 2/12 = 1/6

Therefore, the class used 1/6 of a bottle of red paint.

Whats the value of x?

x = ___

Answers

Using the Pythagorean Theorem, 169-144 = 25
The square root of 25 is 5 so x= 5
Hope this helps!

There are a total of 500 students in grades 1 through 5 in an elementary school. 17% of the total number of students are in 1st grade. 19% of the total number of students are in 4th grade. The number of 3rd-grade students is 9 less than the number of 4th-grade students. The number of 2nd-grade student is 10 less than the number of 5th-grade students. How many students are in each grade.

Answers

There are 0.17(500) or 85 students in grade 1.

There are 0.19(500) or 95 students in grade 4.

The number of students in 3rd grade is 95-9 or 86 students.

So, there are a total of 266 students from grade 1,3 and 4. This leaves 234 students for grade 2 and grade 5.

Let n be the number of students in 5th grade; n-10 is the number of students in 2nd grade.
[tex]n+\left(n-10\right)=234[/tex]

[tex]2n=244[/tex]

[tex]n=122[/tex]

There are 122 students in grade 5, and there are 112 students in 2nd grade.

122 students in 5th grade, 112 in second grade

Please do 24 1/2 - 19 5/8

Answers

In order to subtract mixed numbers, the easiest way to do it is to make them into improper fractions.

In order to do that, multiply the whole number by the denominator and add it to the numerator.

That would make 24 [tex] \frac{1}{2}[/tex] into [tex] \frac{49}{2} [/tex].

Also, it'd make 19 [tex] \frac{5}{8}[/tex] into [tex] \frac{157}{8} [/tex].

Now that they're both improper fractions, you need to make them have a common denominator in order to actually subtract them. You can do that by multiplying the numerator and denominator of [tex] \frac{49}{2} [/tex] by 4, to make it stay the same fraction, but have the same denominator as [tex] \frac{157}{8} [/tex].

[tex] \frac{49}{2} = \frac{196}{8} [/tex]

Now we can subtract them!

[tex] \frac{196}{8} - \frac{157}{8} = \frac{39}{8} [/tex]
When subtracting fractions, only subtract the numerators. You don't subtract the denominators.

The final answer is [tex] \frac{39}{8} [/tex]

what is
[tex]3\times \frac{ 2}{8} [/tex]

Answers

The first step for solving this expression is to reduce the fraction with 2.
3 × [tex] \frac{1}{4} [/tex]
Now multiply 3 by the numerator (top of the fraction) to find your final answer.
[tex] \frac{3}{4} [/tex]
This means that the correct answer to your question is going to be [tex] \frac{3}{4} [/tex],, or 0.75 in decimal form.
Let me know if you have any further questions.
:)

so...

[tex]3* \frac{2}{8} [/tex]
or
[tex]3* \frac{1}{4} = \frac{3}{4} [/tex] simplified

Hope I helped!

x – y ≥ -4.
2x – y ≤ 5.
2y + x > 1

Answers

I took a picture of the work instead ^^

translate each phrase into a mathematical expression
q1the quotient of four less than y and twice x

q2the product of a and the sum of a thirteen

both 2 questions answer plz

Answers

Answers:
_______________________________________________

1) " [tex] \frac{y-4}{2x} [/tex] " .

_______________________________________________

2) " a(a + 13) " .
________________________________________________

One fifth the total of a number and 4 is 2, find the number

Answers

Answer:

-10

Step-by-step explanation:

(1/5)x+4=2

5(1/5)x+4=2)

x+20=10

x = -10

Solve the inequality and describe the solution set:
y-6 ≥ 12

Answers

y≥18

You want to get the y only on one side of the equation. To get rid of the -6 you have to add 6 to both sides to even out the equation.

y-6≥12
+6 +6
y ≥18

Answer: The solution set is y≥18.

Step-by-step explanation:

Since we have given that

[tex]y-6\geq 12[/tex]

We need to first find the inequality and find the solution set.

[tex]y-6\geq 12\\\\y\geq 12+6\\\\y\geq 18[/tex]

So, the solution set for this would be all the values of y which is greater than 18.

i.e. y≥18.

Brianna took out a car loan for $12,250 that has a 0% APR for the first 20 months and will be paid off with monthly payments over a 4 years. For how many months will Brianna be charged interest.

Answers

Brianna doesn’t have any interest, determined by the 0% APR for 20 months. This is 1 year and 8 months. If she plans on making the payments for 4 years then her interest months is 4 years (48 months) minus 20 months, leaving her with 28 months of being charged interest. 28 months is 2 years and 4 months.

Final answer:

Brianna will be charged interest for 28 months.

Explanation:

To determine how many months Brianna will be charged interest, we need to first calculate the total number of months she will be making payments. Since there are 4 years in total, and each year has 12 months, the total number of months is 4 years * 12 months/year = 48 months.

For the first 20 months, Brianna has a 0% APR and will not be charged interest. So we subtract these 20 months from the total number of months to find out how many months she will be charged interest: 48 months - 20 months = 28 months.

Therefore, Brianna will be charged interest for 28 months.

the sum of two numbers equals 49.The sum of the larger number and twice the smaller number is 70. what are the numbers.

Tell me the steps!

Answers

[tex]x + y = 49 \\ x + 2y = 70[/tex]

[tex]x = 49 - y[/tex]

Substitute that into,
[tex]49 - y + 2y = 70 \\ y = 21[/tex]

Substitute that into,
[tex]x = 49 - 21 \\ x = 28[/tex]

Answer check :
[tex]21 + 28 = 49 \\ 28 + 2(21) = 28 + 42 = 70[/tex]

Answer : The numbers are 21 and 28.

Hope this helps. - M

The problem is solved using a system of equations to find that the two numbers in question are 21 and 28.

To solve the problem involving two numbers where the sum equals 49 and the sum of the larger number and twice the smaller number equals 70, we need to form a system of linear equations and solve for the unknowns. Let's denote the smaller number as s and the larger number as l.

The sum of the two numbers is 49: s + l = 49.The sum of twice the smaller number and the larger number is 70: 2s + l = 70.

Subtract the first equation from the second to find the value of s.

2s + l - (s + l) = 70 - 49

Which simplifies to:

s = 21

Substitute the value of s into the first equation:

21 + l = 49

And solve for l:

l = 28

Therefore, the smaller number is 21 and the larger number is 28.

I am thinking of a number, when I add 5 and multiply the answer by 2 I get 28. What is my number?

Answers

first, divide the number by 2
[tex]28 \div 2 = 14[/tex]
next, minus 5
[tex]14 - 5 = 9[/tex]
so the original number is 9 !!

The answer is 9 because 9+5=14. 14×2=28

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