Free Printable Power to a Power Rule

1.

$\left(x^2\right)^5$ Simplify

a)

$x^7$

b)

$x^3$

c)

10

d)

$x^{10}$

2.

Simplify the following expression:

(x⁵)⁴

a)

x⁹

b)

x²⁰

c)

x

d)

x⁵⁴

3.

Simplify the following expression:

(b³)⁸

a)

b¹¹

b)

8b³

c)

b²⁴

d)

24b

4.

Simplify the following expression:

(3y⁴)²

a)

9y⁸

b)

9y⁶

c)

6y⁸

d)

6y⁶

5.

(2ab)³

a)

2³a³b³

b)

2ab³

c)

6a³b³

d)

6ab

6.

Simplify the following expression:

(3x³y⁵)⁴

a)

3x¹²y²⁰

b)

81x¹²y²⁰

c)

12x¹²y²⁰

d)

81x⁷y⁹

7.

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

a)

$ab^5$

b)

$a^5b^5$

c)

$a^5b$

d)

$a^6b^6$

8.

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

a)

$m^8$

b)

$m^{15}$

c)

$8m$

d)

$15m$

9.

Simplify. $\left(5y^3z^2\right)^5$

a)

$5^5y^{15}z^{10}$

b)

$5^5y^8z^7$

10.

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

a)

$2^4c^4d^6$

b)

$2^4c^4d^8$

11.

$\left(x^5y^7\right)^3\ =\ x^{15}y^{21}$

a)

True

b)

False

12.

\left(4a^2b^2c^4\right)^3

a)

$12a^5b^5c^7$

b)

$64a^6b^6c^{12}$

c)

$12a^5b^5c^7$

d)

$64a^5b^5c^7$

Power to a Power Rule

Total questions: 12

Worksheet time: 14mins

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