Simplifying Rational Exponents

Simplify the rational expression
 $x^4\cdot x^5\cdot x^3$  

•  $x^{12}$  

•  $x^{19}$  

•  $x^{27}$  

•  $x^{60}$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify the rational expression
 $\left(\frac{b^8}{b^4}\right)^{^2}$  

•  $b^4$  

•  $b^6$  

•  $b^8$  

•  $b^{16}$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

 $\frac{m^3\cdot m^5}{m^2}$  Simplify the rational expression

•  $1$  

•  $m^4$  

•  $m^5$  

•  $m^6$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

 $a^2\cdot\left(a^3\cdot b^4\right)^2$  Simplify the rational expression

•  $a^7\cdot b^6$  

•  $a^8\cdot b^8$  

•  $a^{10}\cdot b^6$  

•  $a^{12}\cdot b^8$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify the rational expression
 $x^{-6}\cdot x^2$  

•  $x^{-3}$  

•  $\frac{1}{x^3}$  

•  $\frac{1}{x^4}$  

•  $x^{-12}$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

 $\frac{7n^5m^{-2}}{14n^{-2}m^4}$  Simplify the rational expression. Use positive exponents.

•  $2n^3m^2$  

•  $\frac{7nm^3}{14mn^2}$  

•  $\frac{n^3}{2m^2}$  

•  $\frac{n^7}{2m^6}$  

 $\left(\frac{3x^5y^{-4}}{5x^2}\right)^{^{^2}}$  Simplify the rational expression. Use positive exponents.

•  $\frac{3x^5}{5y^6}$  

•  $\frac{9x^5}{25y^6}$  

•  $\frac{3x^6}{5y^8}$  

•  $\frac{9x^6}{25y^8}$