6.2 Properties of Rational Exponents

6.2 Properties of Rational Exponents

Multiple Choice

Simplify

 $y^{\frac{3}{2}}\times y^{\frac{1}{2}}$  

•  $y^2$  

•  $y^{ }$  

•  $y^{\frac{3}{4}}$  

•  $y^0$  

Multiple Choice

Evaluate.

 $\left(3^{\frac{3}{2}}\right)^2$  

• 9

• 6

• 27

• none of these

Multiple Choice

Simplify. Write your answer using positive exponents.

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

•  $x^2$  

•  $\frac{1}{x^2}$  

•  $x^3$  

•  $-2x^3$  

Multiple Choice

Simplify.

 $\frac{x^{\frac{7}{5}}}{x^{\frac{4}{5}}}$  

•  $x^5$  

•  $x^{\frac{11}{5}}$  

•  $x^{\frac{3}{5}}$  

• none of these

Multiple Choice

Simplify

 $\sqrt{25x^8}$  

•  $5x^{12}$  

•  $5x^2$  

•  $5x^{16}$  

•  $5x^4$  

Multiple Choice

Simplify. Write your answer using positive exponents.

 $\frac{\left(64x^3y^6\right)^{\frac{1}{3}}}{4x^{-3}y}$  

•  $\frac{y}{x^2}$  

•  $\frac{x^4}{y^2}$  

•  $x^4y$  

• none of these