Free Printable Rational Exponents

1.

Evaluate $81^{\frac{1}{2}}$

a)

3

b)

9

c)

81

d)

18

2.

Evaluate $9^{\frac{3}{2}}$

a)

9

b)

27

c)

81

d)

3

3.

Evaluate $27^{\frac{5}{3}}$

a)

243

b)

3

c)

81

d)

9

4.

$27^{\frac{-2}{3}}$

a)

$\frac{1}{9}$

b)

$\frac{1}{3}$

c)

$\frac{1}{27}$

d)

3

5.

Evaluate $36^{\frac{-3}{2}}$

a)

$\frac{1}{216}$

b)

$216$

c)

6

d)

36

6.

What is any number raised to the zero power?

a)

It is the number itself.

b)

It is zero.

c)

It is 1.

d)

nothing changes

7.

The negative exponent rule indicates that when you cross the line you ____.

a)

change the sign

b)

remains the same

c)

change the rule

d)

zero

8.

A negative number is the_______ of it's positive counterpart?

a)

inverse

b)

diverse

c)

converse

d)

contrapositive

9.

Negative exponents are expressed in what form?

a)

fraction

b)

decimal

c)

whole numbers

10.

$\frac{1}{a^4}$ is the same as.

a)

$4a$

b)

$a^4$

c)

$a^{-4}$

d)

$a4$

11.

is equivalent to which answer $3^{-5}$

a)

$\frac{1}{125}$

b)

$\frac{3}{5}$

c)

$-3^{-5}$

d)

$\frac{1}{15}$

12.

The power to a power rules states that we ______the exponents together.

a)

add

b)

subtract

c)

multiply

d)

divide

13.

Simplify $\left(a^6\right)^3$ .

a)

$a^9$

b)

$a^{18}$

c)

$a^3$

d)

$a^2$

14.

Simply $\left(x^3\right)^4$

a)

$x^{12}$

b)

$x^7$

c)

$x$

d)

$x^{-1}$

15.

To multiply or divide exponents the bases must be _____

a)

the same

b)

a number

c)

a variable

d)

in any form

Rational Exponents

Total questions: 15

Worksheet time: 13mins

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