Radicals and rational exponents (Review)

When simplifying a value with a rational exponent, which part should you do first?

• Root

• Power

Which of the following is correct? 

• Root over Power
• Power over Root

Write in exponential form
√x⁵

• X¹∕ ⁵
• X ²⁄⁵
• X⁵⁄ ²
• X⁵

Write in exponential form
∜(3x)³

• 3x³⁄ ⁴
• (3x)³∕ ⁴
• (3x)⁴⁄ ³
• 3x⁴⁄ ³

Simplify
x²⁄ ³⋅x¹⁄ ³

• 2x
• x²⁄₉
• x
• x²

Simplify:
x⁻ ¹⁄ ² ⋅ x⁻¹⁄ ⁴

• -x¹∕ ⁶
• x ³∕ ⁴
• 1∕ x³⁄⁴
• x¹∕ ⁸

Simplify
(x²⁄ ³)²⁄ ⁵

• x⁴∕ ¹⁵
• x¹⁶∕ ¹⁵
• x⁶
• 6x

What is the value of 27^⅓?

• 27
• 9
• 3
• 1/3

Simplify:

• 2
• 8
• 16
• 32

Simplify the following expression:

• 16
• 32
• 40
• 64