Rational Exponents and Radicals

Convert the exponent to radical form.

 $m^{\frac{2}{3}}$  

•  $^3\sqrt{m^2}$  

•  $\sqrt{m^3}$  

Convert the radical to exponential form.

 $^4\sqrt{p^2}$  

•  $p^2$  

•  $p^{\frac{1}{2}}$  

Convert the exponent to radical form.

 $\left(2g\right)^{\frac{3}{5}}$  

•  $^5\sqrt{2g^3}$  

•  $\left(^5\sqrt{2g}\right)^3$  

Convert the radical to exponential form.

 $^3\sqrt{3k^4}$  

•  $3^{\frac{1}{3}}k^{\frac{4}{3}}$  

•  $\left(3k\right)^{\frac{4}{3}}$  

Evaluate the radical expression.

 $625^{\frac{3}{4}}$  

• 5343.67

• 125

• 468.75

• 833.33

Evaluate the radical expression.

 $64^{\frac{3}{2}}$  

• 512

• 24

• 10.67

• 16

Rewrite the radical expression into the most simplified exponential expression.

 $\sqrt{4x^6}$  

•  $\left(4x\right)^{\frac{6}{3}}$  

•  $2x^3$  

•  $16x^2$  

Choose the correct exponential form of the radical.

• A

• B

• C

• D

Choose the correct exponential form of the radical.

• A

• B

• C

• D

Choose the correct radical form of the exponent.

• A

• B

• C

• D