Radicals and Rational Exponents

Which expression with a fractional exponent best represents √7 ?

• 7 ^½

• 7¼

• 7⅓

• 2⁷

Write as a radical expression
y¹⁄ ³

• ∛y

• y³

• √y

• 1∕ 3y

Q1. What is the value of the expression?

• A) 13√3

• B) 10√30

• C) 13√6

• D) 11√3

Evaluate:

• 2

• 4

• 16

• 64

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

• x^1/5

• x^-1/5

• x^-5

• x⁵

• 7³
• 7
• 7^3/4
• 7^4/3

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

• power

• root

• radical

• index

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

• 5/9

• 9/5

• 4

• 45

Rewrite the following

∛x⁵

• x^3/5

• x^5/3

• x²

• x³⋅x⁵

Write in exponential form
∜(3x)³

• 3x³⁄ ⁴

• (3x)³∕ ⁴

• (3x)⁴⁄ ³

• 3x⁴⁄ ³