Radicals and Fractional Exponents

• ∛y

• y³

• √y

• 1∕ 3y

• it disappears

Simplify:

• 2

• 4

• 16

• 64

Write in exponential form

∛x⁷

• x⁷∕ ³

• x3⁄7

• 3x⁷

• 7x³

• 7³

• 7

• 7^3/4

• 7^4/3

This expression can be written as the following exponent on x.

• x^1/5

• x^-1/5

• x^-5

• x⁵

The expression can be written equivalently with the following exponent on x. 

• 5/9

• 9/5

• 4

• 45

What is the value of 27^⅓?

• 27

• 9

• 3

• 1/3

A rational exponent can be broken down by identifying the numerator as a ​ ​ (a)   and the denominator as a ​ (b)  

• power

• root

• radical

• index

Which expression with a fractional exponent best represents √7 ?

• 7 ^½

• 7¼

• 7⅓

• 2⁷