SIMPLIFYING RATIONAL EXPONENTS EXPRESSIONS

 $x^{\frac{2}{7}}\cdot x^{\frac{3}{14}}$  Simplify the expression. Assume that all variables are positive.

•  $x^{\frac{1}{2}}$  

•  $x^{\frac{1}{7}}$  

•  $x^{\frac{5}{14}}$  

•  $x^{\frac{9}{14}}$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

 $y^{\frac{1}{2}}\cdot y^{\frac{3}{10}}$  Simplify the expression. Assume that all variables are positive.

•  $y^{\frac{3}{5}}$  

•  $y^{\frac{4}{5}}$  

•  $y^{\frac{3}{10}}$  

•  $y^{\frac{7}{10}}$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

 $\frac{x^{\frac{3}{5}}}{x^{\frac{1}{10}}}$  Simplify the expression. Assume that all variables are positive.

•  $x^{\frac{1}{10}}$  

•  $x^{\frac{2}{5}}$  

•  $x^{\frac{1}{2}}$  

•  $x^{\frac{7}{10}}$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

 $\frac{y^{\frac{5}{7}}}{y^{\frac{3}{14}}}$  Simplify the expression. Assume that all variables are positive.

•  $y^{\frac{1}{2}}$  

•  $y^{\frac{1}{14}}$  

•  $y^{\frac{1}{7}}$  

•  $y^{\frac{3}{7}}$  

Tags

CCSS.HSN.RN.A.2

 $\frac{x^{\frac{2}{3}}\cdot y^{-\frac{1}{4}}}{x^{\frac{1}{2}}\cdot y^{-\frac{1}{2}}}$  Simplify the expression. Assume that all variables are positive.

•  $x^{\frac{1}{6}}y^{\frac{3}{4}}$  

•  $x^{\frac{5}{6}}y^{\frac{1}{4}}$  

•  $x^{\frac{5}{6}}y^{\frac{3}{4}}$  

•  $x^{\frac{1}{6}}y^{\frac{1}{4}}$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

 $\frac{x^{\frac{1}{2}}y^{-\frac{1}{3}}}{x^{\frac{3}{4}}y^{\frac{1}{2}}}$  Simplify the expression. Assume that all variables are positive.

•  $\frac{y^{\frac{5}{6}}}{x^{\frac{1}{4}}}$  

•  $\frac{1}{x^{\frac{1}{4}}y^{\frac{5}{6}}}$  

•  $\frac{1}{x^{\frac{3}{4}}y^{\frac{1}{6}}}$  

•  $\frac{x^{\frac{1}{4}}}{y^{\frac{5}{6}}}$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSN.RN.A.2

 $\left(\frac{16x^{14}}{81y^{18}}\right)^{\frac{1}{2}}$  Simplify the expression. Assume that all variables are positive.

•  $\frac{8x^7}{45y^9}$  

•  $\frac{8x^{28}}{9y^{36}}$  

•  $\frac{4x^{28}}{9y^{36}}$  

•  $\frac{4x^7}{9y^9}$  

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

 $\frac{\left(x^{\frac{1}{2}}\cdot x^{\frac{5}{12}}\right)^{\frac{1}{3}}}{x^{\frac{2}{3}}}$  Simplify the expression. Assume that all variables are positive.

•  $\frac{1}{x^{\frac{7}{12}}}$  

•  $x^{\frac{12}{36}}$  

•  $\frac{1}{x^{\frac{13}{36}}}$  

•  $x^{\frac{7}{12}}$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSN.RN.A.2

 $\ \left(\left(x^{-\frac{1}{2}}\right)^2\right)^{\frac{1}{3}}$  Simplify the expression. Assume that all variables are positive.

•  $\frac{1}{x^{\frac{1}{6}}}$  

•  $x^{\frac{1}{3}}$  

•  $x^{\frac{1}{6}}$  

•  $\frac{1}{x^{\frac{1}{3}}}$  

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

 $\left(\left(\sqrt{x^3y^3}\right)^{\frac{1}{3}}\right)^{-1}$  Simplify the expression. Assume that all variables are positive.

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

•  $\left(xy\right)^{\frac{1}{2}}$  

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

•  $\left(xy\right)^{\frac{1}{3}}$  

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2