Free Printable Multiplying and Dividing Exponents

1.

When multiplying like bases, you _____________ exponents.

a)

add

b)

subtract

c)

divide

d)

multiply

2.

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h⁸/h³

a)

add

b)

subtract

c)

multiply

d)

divide

3.

$x^3\ \cdot\ x^4$

a)

$x^{12}$

b)

$2x^7$

c)

$x^7$

d)

$2x^{12}$

4.

$\frac{d^{15}}{d^8}$

a)

$d^{23}$

b)

$2d^7$

c)

$d^{\frac{15}{8}}$

d)

$d^7$

5.

$\left(3y^6\right)\left(-5y^5\right)$

a)

$-2y^{30}$

b)

$-15y$

c)

$-15y^{30}$

d)

$-15y^{11}$

6.

$\frac{27w^{10}}{3w^5}$

a)

$9w^2$

b)

$9w^5$

c)

$24w^2$

d)

$24w^5$

7.

$\frac{4^6}{4^4}$

a)

$4^2$

b)

$1^{10}$

c)

$1^2$

d)

$4^{10}$

8.

a)

y¹⁶

b)

y³

c)

16y

d)

y⁴⁸

9.

a)

8x⁴

b)

8x⁸

c)

6x⁴

d)

6x⁸

10.

3⁴⋅ 3⁷

a)

3²⁸

b)

3³

c)

3^-3

d)

3¹¹

11.

a)

5⁸

b)

5⁶

c)

5²

d)

1

12.

a)

x²⁵

b)

x⁵

c)

x¹⁴⁴

d)

25x

13.

a)

x⁴

b)

x⁸

c)

x¹²

d)

x²⁰

14.

$\frac{n^8}{n^4}$

a)

$n^{4\ }$

b)

$n^{12}$

c)

$n^{-4}$

d)

$n^{-12}$

15.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

16.

$\frac{9h^6}{3h^3}$

a)

$3h^9$

b)

$3h^{3\ }$

c)

$3h^{18}$

d)

$h^{3\ }$

17.

a)

x³

b)

x⁹

c)

x

d)

1

18.

What is the number in a power that tells how many times the base is used as a factor?

a)

Expression

b)

Exponent

c)

Factor

d)

Term

19.

Billy was asked to solve 3⁵∙3⁴. He got 9²⁰. What error did he make?

a)

When he multiplies exponents, he is supposed to add the base and the exponent

b)

When he multiplies exponents, he is supposed to multiply the base and keep the exponents

c)

When he multiplies exponents, he is supposed to keep the base and add the exponents if the base is the same

d)

None of the above

20.

What is the base and exponent of this power: 4^-6

a)

Base: 4, Exponent: 6

b)

Base: 6, Exponent: -4

c)

Base: 4, Exponent: -6

d)

Base: -6, Exponent: 4

Multiplying and Dividing Exponents

Total questions: 20

Worksheet time: 40mins

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