Free Printable Negative Exponents and Power Rule

1.

Rewrite using a positive exponent.
7^-10

a)

¹/_7¹⁰

b)

7¹⁰

c)

¹/_7^-10

d)

-70

2.

Rewrite using a positive exponent.
(-5)^-4

a)

(-5)⁴

b)

¹/_(-5)^-4

c)

¹/_(-5)⁴

d)

-625

3.

Rewrite using a positive exponent.
w^-13

a)

-w¹³

b)

¹/_w¹³

c)

¹/_w^-13

d)

w¹³

4.

Rewrite each expression with a negative exponent.
¹/_12⁴

a)

¹/_12^-4

b)

12⁴

c)

¹/_20,736

d)

12^-4

5.

Rewrite each expression with a negative exponent.
¹/₁₂₅

a)

¹/_5³

b)

5³

c)

5^-3

d)

¹/_5-3

6.

(8⁵)³

a)

8⁸

b)

8¹⁵

c)

8²

d)

1/8²

7.

Power Rule states: keep the base the same and do this to the exponents.

a)

multiply

b)

add

c)

subtract

d)

divide

8.

(t^-6)^-5

a)

t^-11

b)

t^-30

c)

t³⁰

d)

t¹¹

9.

How do you correctly say 4³

a)

4 squared

b)

3 quadrupled

c)

4 cubed

d)

4 to the power of 2

10.

Simplify $\left(y^8\right)^9$

a)

$y^{72}$

b)

$9y^{72}$

c)

$9y^8$

d)

$y^{17}$

11.

Simplify $\left(5^3\right)^{10}$

a)

$25^3$

b)

$5^{13}$

c)

$25^{30}$

d)

$5^{30}$

12.

Simplify $\left(-7^2\right)^7$

a)

$\left(-49\right)^{14}$

b)

$\left(-7\right)^9$

c)

$\left(-7\right)^{14}$

d)

$\left(-49\right)^2$

13.

$What\ is\ the\exp anded\ form\ of\ 10^3$

a)

1,000

b)

30

c)

10 x 10 x 10

d)

100

14.

(r⁴)⁶

a)

10r

b)

r¹⁰

c)

24r

d)

r²⁴

15.

Simplify: $\ \left(y^3\right)^{-2}$

(Choose two answers)

a)

$y^5$

b)

$y^{-6}$

c)

$\frac{1}{y^6}$

d)

$\frac{y^3}{y^2}$

Negative Exponents and Power Rule

Total questions: 15

Worksheet time: 1hrs 13mins

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