Introduction to Rational Exponents

 Write in exponential form
 ∛x⁷

• x⁷∕ ³
• x3⁄7
• 3x⁷
• 7x³

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

Write as a radical expression
y²⁄ ³

• 2y³
• √y³
• ∛y²
• 3y²

Write as a radical expression
y¹⁄ ³

• ∛y
• y³
• √y
• 1∕ 3y

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

Simplify
(x⁻²)⁻¹∕²

• 1∕ x³∕²
• 1∕ x²
• 1∕ x
• x

Simplify:

• 2
• 8
• 16
• 32