IIB Final Review - Exponents

Simplify  $\left(64\right)^{\frac{2}{3}}$  .

• 4

• 8

• 12

• 16

Simplify  $16^{-\frac{1}{2}}$  .

• -8

•  $\frac{1}{4}$  

• 4

•  $-\frac{1}{4}$  

Simplify  $\left(-27\right)^{\frac{1}{3}}$  

• -3

• 3

•  $-\frac{1}{9}$  

•  $\frac{1}{9}$  

Simplify. Your final expressions should contain no negative exponents and no parentheses.
 $\left(36^{\frac{1}{2}}x^4\right)\left(16x^3\right)$  

•  $96x^{12}$  

•  $96x^7$  

•  $24x^7$  
  

•  $6x^{12}$  
  

Tags

CCSS.HSA.APR.A.1

Simplify. Your final expressions should contain no negative exponents and no parentheses.
 $\left(\frac{x^7y^3}{x}\right)^{\frac{1}{3}}$  

•  $x^{\frac{8}{3}}y$  

•  $\frac{x^{\frac{7}{3}}y}{x^{\frac{1}{3}}}$  

•  $x^2x^{\frac{1}{3}}y$  

•  $x^2y$  

Tags

CCSS.HSA.APR.A.1

Simplify. Your final expressions should contain no negative exponents and no parentheses.
 $\frac{144^{\frac{1}{2}}x^{-3}}{\left(16^{\frac{3}{4}}x^7\right)^0}$  

•  $\frac{3}{2x^{10}}$  

•  $\frac{12}{x^3}$  

•  $\frac{3}{2x^3}$  

•  $12x^3$  

Tags

CCSS.HSN.RN.A.2

Simplify. Your final expressions should contain no negative exponents and no parentheses.
 $\frac{a^{\frac{2}{3}}b^{-\frac{3}{4}}c^{\frac{7}{8}}}{a^{-\frac{1}{3}}b^{\frac{1}{4}}c^{\frac{1}{8}}}$  

•  $\frac{ac^{\frac{6}{8}}}{b}$  

•  $\frac{a^{\frac{1}{3}}c^{\frac{6}{8}}}{b}$  

•  $\frac{b}{ac^{\frac{6}{8}}}$  

•  $\frac{b}{a^{\frac{1}{3}}c^{\frac{6}{8}}}$  

Tags

CCSS.HSN.RN.A.2

Simplify. Your final expressions should contain no negative exponents and no parentheses.
 $\left(\frac{3}{5x}\right)^{-2}$  

•  $\frac{5x^2}{9}$  

•  $\frac{9}{25x^2}$  

•  $\frac{10x^2}{9}$  

•  $\frac{25x^2}{9}$  

Tags

CCSS.8.EE.A.1