how do you multiply powers that have the same base

Answers

Answer 1

Answer:

The exponent "product rule" tells us that, when multiplying two powers that have the same base you can add the exponents in this example you can see how it works. Adding the exponents Is just a short cut! the "power rule" tells us that raise power to a power, just multiply the exponents


Related Questions

20 POINTS AND 5 STARS

Answers

Answer:

C)      D)

Step-by-step explanation:

solve this question now ​

Answers

Answer:

Center is (1,5) ;Radius is the square root of 13

Given the definitions of f(x) and g(x) below, find the value of g( f(1) ).

f(x)= 3x^2-7x+6
g(x)= 4x-5

Answers

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[tex]f(x) = 3 {x}^{2} - 7 x+ 6[/tex]

[tex]f(1) = 3 ({1})^{2} - 7(1) + 6[/tex]

[tex]f(1) = 3 - 7 + 6[/tex]

[tex]f(1) = 9 - 7[/tex]

[tex]f(1) = 2[/tex]

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[tex]g(x) = 4x - 5[/tex]

[tex]g(f(1)) = g(2) = 4(2) - 5[/tex]

[tex]g(2) = 8 - 5[/tex]

[tex]g(2) = 3[/tex]

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In ΔXYZ, z = 46 cm, x = 45 cm and ∠Y=81°. Find the length of y, to the nearest centimeter.

Answers

Answer:

If the question is supposed to be solved using the pythagorean thorem, y≈64.35

Answer:

59

Step-by-step explanation:

Two hikers walk on a trail in the direction of increasing mile marker numbers. Mandy starts at mile marker 1 and hikes at a rate of 2.5 miles per hour. At the same time, Rita starts at mile marker 2 and hikes at a rate of 3 miles per hour. The equation 2.5h+1=3h+2 represents the number of hours h it will take Mandy to catch up with Rita.

Answers

Let as consider, we need to find the number of hours h it will take Mandy to catch up with Rita.

Given:

The number of hours h it will take Mandy to catch up with Rita is represented by the equation

[tex]2.5h+1=3h+2[/tex]

To find:

The value of h.

Solution:

We have,

[tex]2.5h+1=3h+2[/tex]

Isolate the variable terms on one side.

[tex]2.5h-3h=-1+2[/tex]

[tex]-0.5h=1[/tex]

Divide both sides by -0.5.

[tex]h=\dfrac{1}{-0.5}[/tex]

[tex]h=-2[/tex]

We know that, time cannot be negative. So, [tex]h\neq -2[/tex].

The equation [tex]2.5h+1=3h+2[/tex] is not true for any positive value of h.

Therefore, Mandy will never catch up with Rita.

What was the price of one candle before the sale?

Answers

Answer:

$4.69

Step-by-step explanation:

HOPE THIS HELPEDDDD ❤✨

Answer:

The original price of the candles was $4.69

Step-by-step explanation:

$11.96 (price of 4 candles) ÷ 4 candles = $2.99 (how much each candle costs)

$2.99 (how much each candle costs) + $1.70 (how much the price of the candles lowered) = $4.69 (the old price per candle)

(hope I helped)

What’s 2+2
Answer : 4
hope it helps

Answers

Answer:

what

Step-by-step explanation:

a recipe for fruit punch calls for 1/2 liter of lemonade and 1/10 liter of cranberry juice. What is the unit rate of lemonade to cranberry juice

Answers

Answer: 5

explanation - its a 5 to 1 ratio

Answer:

5

Step-by-step explanation:

There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting at least 1 red?

Answers

Answer:

There are 6+5 marbles.

Of those, 5 are red.

The chances of drawing a red marble are 5/11

Since you replace the marble you drew, the chances each draw remain 5/11

You cannot draw two red marbles without drawing a red marble on your first draw, so the odds of you making a second draw are 5/11. The odds of that also being red are 5/11… but we only care about that 5/11ths the time

5/11*5/11=25/121

two cubes each measure 7 units on each side. write and espression using exponents to represent the total volume of the cubes.

Answers

Answer:

7*6=42 then 42*2=84 hope that helps.

Answer:

7^3 + 7^3 units^3

OR

(7^3)2 units^3

Step-by-step explanation:

Volume = length x width x height

In cubes, length = width = height

So, volume = 7 x 7 x 7 = 7^3

2 cubes:

7^3 + 7^3 units^3

OR

(7^3)2 units^3

What does (5 x -4) - 8=

Answers

Answer:

-28

Step-by-step explanation:

Circle the division problem that does not belong with the other three. Explain.Write one that does belong 621/6 384/3 719/7 514/5

Answers

Answer:

384/3

Step-by-step explanation:

^^Is the only one that equals a whole number the rest have decimals

If two lines are parallel and the slope of one of the lines is M, what is the product of their slopes? *
2 points
1
2M

-1

Thanks will mark brainliest

Answers

Answer:

Step-by-step explanation:

Parallel lines have equal slopes.

One line has a slope of M then the line parallel to it has a slope of M , thus

product of slopes = M × M = M²

The the product of their slopes is M².

What is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

two lines are parallel

and the slope of one of the lines is M

Also, the parallel lines have the same slope.

So, both the line lines have slope M.

Now, the the product of their slopes

= M x M

= M²

Hence, the product of their slopes is M².

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ2


solve please!!!!!!

Answers

Answer:

no solution

Step-by-step explanation:

Answer:

d. x=3 and x-11

Step-by-step explanation:

PLS HELP ASAP!!!!! DUE IN 5 MIN!

Answers

Answer:

3^4 y^4

Step-by-step explanation:

Answer:

81y^(4)

Step-by-step explanation:

(-3y)^4

is the same as

-3y * -3y * -3y * -3y

which is

81y^4

Could someone help me with this. Than u
Also if u can put it step by step how u do it.

Answers

Answer:

X=3,-3

Step-by-step explanation:

Is it a function ?? (please help)

Answers

Answer:

No because there are not only 1 y value per x value

no there should only be one number per value.

Find the point-slope equation for the line
that passes through the points (30, 2) and
(15, -28). Use the first point in your
equation
y - [?
l(x - [

Answers

Answer:

y-30=2(x-2)

Step-by-step explanation:

m=y2-y1/x2-x1

-28-2=(-30)

15-30=(-15)

-30/(-15)=2

m=2

hope this helps =3

sorry if im wrong

Sara has 3.75 bags of gravel for her driveway project. Each bag of gravel will cover 125.3 square feet How many square feet will Sara be able to cover if she uses all these bags of gravel? AT469.875 ft? B 375.225 ft? C 407.225 ft2 D 418.502 ft2​

Answers

Answer:

469.875

Step-by-step explanation:

Just multiply 3.5 by 125.3

Which of the following are solutions to the inequality, 16 < 15 x − 12 ? Select all that apply.

Group of answer choices

-26

3.25

1.8

22/17

28/15

1.86

1.87

25/7

Answers

Answer:

25/7, 1.87, 3.25, and 22/7

Step-by-step explanation:

16 < 15x - 12

__________

+12. +12

__________

28 < 15x

__________

÷15 ÷15

__________

28/15 < x

__________

x > 28/15

__________

this is true for any number greater than 1 and 13/15 = 1.8666......

An angle is 36⁰ less than its complement. What is the measure of the angle?

Answers

Answer:

27 degrees.

Step-by-step explanation:

If the angles are x and y then as they are complementary:

x + y = 90    -  and we are given that:

x - y = 36      Adding the 2 equations:

2x = 126

x = 63.

So  63 - y = 36

y = 63 - 36 = 27.

3 Equivalent ratios for the following ratio: 3:4

Answers

Answer:

6:8

9:12

12:16

Step-by-step explanation:

Ben and Sam are driving in a lake.at 14 feet below the surface, ben spots sam 9 feet directly below him.find smash deprh

Answers

Sam's depth is 25 feet as 14 + 9 = 25

What Would U And Me Equal

U=ME=?

Answers

I kinda feel like this is a relationship question and im lonely so I can’t help

Find 2 points that are 3 units from Point C and also share the same y-coordinate as Point C.

P.S its NOT -3,-5 -9,-5

Answers

Answer:

I'm guessing point C is (-6,-5)? But then, it would have to be the coordinates you listed, (-3,-5) and (-9,-5) because nothing else makes sense.

Or is it one of those questions that you give your own coordinates? I'm confused :'(

The temperature was 8℉. It dropped so that the temperature was 0℉. What integer represents the change in temperature?

Answers

Answer:

-8

Step-by-step explanation:

The temperature dropped 8 degree, resulting in a negative change. So the integer to represent it would be negative 8 degrees.

Ryan is three years younger than twice his brother’s age. Ryan is eleven.

Which equation will help us find his brother’s age?

2 b + 3 = 11
2 b – 3 = 11
b/2 – 3 = 11
b/2 + 3 = 11

Answers

Answer:

2b - 3 = 11

Step-by-step explanation:

7 × 2 is 14 and 14 minus 3 is 11 Ryan's brother is 7

>
Of the points shown below, which point
represents the number with the greatest
absolute value?
A B C D
+
-4 -3 -2 -1 0 1 2 3 4

Answers

Answer:

A

Step-by-step explanation:

As it is technically the highest number as the greatest absolute value is never negative.

What is the equation of the line that passes through the point (-6,4)(−6,4) and has a slope of -\frac{5}{6}−
6
5

?

Answers

Answer:

y - 4 = -5/6(x + 6)

Answer:

y-4=3/2(x+4)

Step-by-step explanation:

order them from least to the greatest value.

Answers

Answer:

-0.89, 0.4, 1/2, 9/8, I-2I

Step-by-step explanation:

Answer:

1. -2

2. 0.4

3. 0.5/ 1/2

4. -0.89

5. 0.88/ 9/8

Step-by-step explanation:

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