Rational Exponents and Radicals

 Write in exponential form
 ∛x⁷

• x⁷∕ ³
• x3⁄7
• 3x⁷
• 7x³

Tags

CCSS.HSN.RN.A.2

CCSS.HSN.RN.A.1

Write in exponential form
∜(3x)³

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

Tags

CCSS.HSN.RN.A.2

CCSS.HSN.RN.A.1

Write as a radical expression
y¹⁄ ³

• ∛y
• y³
• √y
• 1∕ 3y

Tags

CCSS.HSN.RN.A.2

CCSS.HSN.RN.A.1

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

Tags

CCSS.HSN.RN.A.2

CCSS.HSN.RN.A.1

Simplify
x⅞ ⁄ x

• x
• 1∕ x¹∕ ⁸
• 1∕8x
• x⁴

Tags

CCSS.HSA.APR.A.1

49^-3/2

• 343
• -343
• 1/343
• -1/343

Evaluate 9^-3/2

• 1/27
• -27
• 1/3
• -3

Simplify

√45n³

• 3n√5n
• 4n√8
• 4n√-8
• 10√n

Tags

CCSS.HSN.RN.A.2

CCSS.HSA.SSE.B.3