Free Printable Exponents-Power to a Power Rule

1.

$\left(4xy^3\right)^3$

a)

$x^3y^9$

b)

$64x^3y^9$

c)

$12x^4y^6$

d)

$64x^4y^6$

2.

\left(3u^2v^3\right)^2

a)

$9u^4v^5$

b)

$6u^4v^5$

c)

$9u^4v^6$

d)

$6u^4v^6$

3.

\left(4qm^2p^2\right)^4

a)

$16q^5m^6p^6$

b)

$256q^4m^8p^8$

c)

$16q^4m^6p^6$

d)

$256q^5m^6p^6$

4.

Simplify the following expression:

(x⁵)⁴

a)

x⁹

b)

x²⁰

c)

x

d)

x⁵⁴

5.

According to exponent rules, when we raise a power to a power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

6.

Simplify the following expression:

(b³)⁸

a)

b¹¹

b)

8b³

c)

b²⁴

d)

24b

7.

Simplify the following expression:

(3y⁴)²

a)

9y⁸

b)

9y⁶

c)

6y⁸

d)

6y⁶

8.

(2ab)³

a)

2³a³b³

b)

2ab³

c)

6a³b³

d)

6ab

9.

Which shows the Power Rule used correctly? $\left(ab\right)^5$

a)

$ab^5$

b)

$a^5b^5$

c)

$a^5b$

d)

$a^6b^6$

10.

Simplify. $\left(m^3\right)^5$

a)

$m^8$

b)

$m^{15}$

c)

$8m$

d)

$15m$

11.

Simplify. $\left(2cd^2\right)^4$

a)

$2^4c^4d^6$

b)

$2^4c^4d^8$

12.

Simplify the following expression:

(2x³y)⁶

**HINT: Distribute the exponent to all terms inside the parenthesis**

a)

2x¹⁸y⁶

b)

64x¹⁸y⁶

c)

64x³y⁶

d)

2x³y⁶

Exponents-Power to a Power Rule

Total questions: 12

Worksheet time: 15mins

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