Rational Exponents Practice

Write the following expression in radical form:

• a.)
• b.)
• c.)
• d.)

Tags

CCSS.HSN.RN.A.2

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

Tags

CCSS.HSA.APR.A.1

Simplify
(x²⁄ ³)²⁄ ⁵

• x⁴∕ ¹⁵
• x¹⁶∕ ¹⁵
• x⁶
• 6x

Simplify the expression:
10^1/2 * 10^1/2

• 10
• 100
• 10,000
• 3.56

Tags

CCSS.HSN.RN.A.2

 $\frac{4^{\frac{5}{2}}}{4^{\frac{3}{2}}}$  Simplify the expression:

• 1

• 4

•  $4^{\frac{1}{2}}$  

• 2

Tags

CCSS.HSN.RN.A.2

Simplify the expression $\frac{x^{\frac{7}{6}}}{x^{\frac{1}{6}}}$  

• x

•  $x^{\frac{1}{6}}$  

•  $x^{\frac{1}{2}}$  

•  $x^{\frac{7}{36}}$  

Tags

CCSS.HSA.APR.A.1

 $\left(4x^2\right)^{\frac{1}{2}}$  

Simplify the expression, evaluate if possible

• 4x

•  $4x^{\frac{1}{2}}$  

• 2x

•  $2x^{\frac{1}{4}}$  

 $\left(\frac{2}{3}\right)^{\frac{1}{3}}$  

Simplify the expression, evaluate if possible

•  $\frac{2}{3}$  

•  $\frac{2^{\frac{1}{3}}}{3}$  

•  $\frac{2}{3^{\frac{1}{3}}}$  

•  $\frac{2^{\frac{1}{3}}}{3^{\frac{1}{3}}}$  

Tags

CCSS.HSN.RN.A.2

Simplify the expression $5^{-\frac{2}{3}}$  

•  $\frac{1}{5^{-\frac{2}{3}}}$  

•  $\frac{1}{5^{\frac{2}{3}}}$  

•  $\frac{1}{5^{\frac{3}{2}}}$  

•  $-5^{\frac{2}{3}}$  

Tags

CCSS.HSN.RN.A.2