Quiz about Product of Powers Laws

Question 1

10⁵x 10⁷

Accepted Answer

1012

Answer

102

Answer

103

Answer

1013

Question 2

y¹² x y¹⁰

Accepted Answer

y22

Answer

y2

Answer

y20

Answer

y120

Question 3

Simplify the expression.
(6x²)(-3x⁵)

Accepted Answer

-18x7

Answer

18x7

Answer

18x7

Answer

3x7

Question 4

(2ab)3

Accepted Answer

8a3b3

Answer

8ab3

Answer

2a3b3

Answer

2ab

Question 5

(2x3y)6

Accepted Answer

64x¹⁸y⁶

Answer

2x¹⁸y⁶

Answer

64x3y6

Answer

2x3y6

Question 6

Simplify the expression: (2x³y)⁶

Accepted Answer

64x¹⁸y⁶

Answer

2x¹⁸y⁶

Answer

64x3y6

Answer

2x3y6

Question 7

Simplify:

(x³y²)²

Accepted Answer

x6y4

Answer

x5y4

Answer

x3y4

Answer

x6y2

Question 8

Simplify (c⁵)(c³)(c³)

Accepted Answer

c11

Answer

c45

Answer

3c11

Answer

3c45

Question 9

Simplify (2m⁴)(5m²)

Accepted Answer

10m6

Answer

10m8

Answer

7m6

Answer

7m8

Question 10

(x³⁾(x⁵)(x¹⁰)

Accepted Answer

x18

Answer

x2

Answer

18x

Answer

x150

Question 11

(r4)6

Accepted Answer

r24

Answer

10r

Answer

r10

Answer

24r

Question 12

Simplify: (3x²)³

Accepted Answer

27x6

Answer

9x6

Answer

3x6

Answer

9x5

Question 13

Simplify:
(5ab²)²

Accepted Answer

25a2b4

Answer

10a2b4

Answer

5a2b4

Answer

25ab2

Question 14

Simplify (-3x⁴y⁵)²

Accepted Answer

9x⁸y¹⁰

Answer

6x⁸y¹⁰

Answer

3x⁸y¹⁰

Answer

-9x⁸y¹⁰

Question 15

Simplify:
(x³)²

Accepted Answer

x6

Answer

x5

Answer

x

Answer

3x2

Question 16

The Product of Powers Property says when the base is the same and the exponent is different you should ________________________

Accepted Answer

add the exponents

Answer

add the bases

Answer

multiply the bases

Answer

multiply the exponents

Question 17

Which option follows the product of a power rule for exponents with the same base?

Accepted Answer

(9²)(9¹) = 9³

Answer

(9²)(9¹) = 9¹

Answer

(9²)(9¹) = 9²

Question 18

Which option follows the product of a power rule for exponents with the same base?

Accepted Answer

(e⁴)(e¹) = e⁵

Answer

(e⁴)(e¹) = e⁴

Answer

(e⁴)(e¹) = e³

Question 19

Which option follows the product of a power rule for exponents with the same base?

Accepted Answer

(7⁹)(7⁹) = 7¹⁸

Answer

(7⁹)(7⁹) = 7⁸¹

Answer

(7⁹)(7⁹) = 7⁰

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