Rational Exponents and Radicals

Rational Exponents and Radicals

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Fill in the Blank

 $8^{\frac{2}{3}}$  

Multiple Choice

Simplify.

 $\left(a^2bc^3\right)^2$  

•  $a^4b^2c^6$  

•  $a^4b^3c^5$  

•  $a^4bc^6$  

•  $abc^{\frac{3}{2}}$  

Multiple Choice

Simplify.

 $\sqrt{28m}$  

•  $2\sqrt{7m}$  
  

•  $2\sqrt{2\cdot7m}$  
  

•  $7\sqrt{2m}$  
  

•  $2m\sqrt{7}$  
  

Multiple Choice

Simplify.

 $a^2\left(a^3\right)$  

•  $a^6$  

•  $a$  

•  $a^5$  

•  $a^{\frac{2}{3}}$  

Fill in the Blank

 $\left(2^4x^2\right)^{\frac{1}{2}}$ = __________

Multiple Select

Simplify and write the radical expression using rational exponents.
Select ALL the correct answers.

 $a\cdot\sqrt{a^3}$  

•  $a\cdot a^{\frac{3}{2}}$  

•  $a^{\frac{5}{2}}$  

•  $a\cdot a^{\frac{2}{3}}$  

•  $a^{\frac{4}{3}}$  

Multiple Choice

Simplify.

 $x^2\left(x^3y^2\right)$  

•  $x^6y^4$  

•  $x^6y^2$  

•  $xy^2$  

•  $x^5y^2$  

Fill in the Blank

 $11\left(v^2wz^3\right)^0$  = _________

Fill in the Blank

 $\left(\sqrt{64a}\right)^2$  

Multiple Choice

Simplify.

 $x^2y^3\left(xy^2\right)$  

•  $x^2y^6$  

•  $x^3y^5$  

•  $xy$  

•  $x^4y^4$