Simplify Radicals and Rational Exponents

Q1. What is the value of the expression?

• 8√6

• 8√12

• 12√6

• 12√12

Write in exponential form
∜(3x)³

• 3x³⁄ ⁴

• (3x)³∕ ⁴

• (3x)⁴⁄ ³

• 3x⁴⁄ ³

Tags

CCSS.HSN.RN.A.2

Write as a radical expression
y²⁄ ³

• 2y³

• √y³

• ∛y²

• 3y²

Tags

CCSS.HSN.RN.A.2

Simplify
x²⁄ ³⋅x¹⁄ ³

• 2x

• x²⁄₉

• x

• x²

Tags

CCSS.HSA.APR.A.1

Simplify:
x⁻ ¹⁄ ² ⋅ x⁻¹⁄ ⁴

• -x¹∕ ⁶

• x ³∕ ⁴

• 1∕ x³⁄⁴

• x¹∕ ⁸

Tags

CCSS.HSA.APR.A.1

Simplify
(x²⁄ ³)²⁄ ⁵

• x⁴∕ ¹⁵

• x¹⁶∕ ¹⁵

• x⁶

• 6x

Simplify
(x⁻²)⁻¹∕²

• 1∕ x³∕²

• 1∕ x²

• 1∕ x

• x

What is the value of 27^⅓?

• 27

• 9

• 3

• 1/3

Simplify:

• 2

• 8

• 16

• 32

Tags

CCSS.HSN.RN.A.2

Simplify the following expression:

• 16

• 32

• 40

• 64

Tags

CCSS.HSN.RN.A.2