Simplifying Rational Exponents

Write the following expression in radical form:

• a.)
• b.)
• c.)
• d.)

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Write the following expression in exponential form:

• a.)
• b.)
• c.)
• d.)

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

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

•  $2n^3m^2$  

•  $\frac{7nm^3}{14mn^2}$  

•  $\frac{n^3}{2m^2}$  

•  $\frac{n^7}{2m^6}$  

Tags

CCSS.HSA.APR.A.1

Simplify  $\left(x^{\frac{1}{7}}\right)^{\frac{3}{2}}$  and write your answer in radical form.

•  $^{21}\sqrt{x^2}$  

•  $\ ^{14}\sqrt{x^3}$  

•  $\sqrt{x^3}$  

•  $^3\sqrt{x^{14}}$  

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify . Your answer should contain only positive exponents.$yx^{\frac{1}{3}}\cdot xy^{\frac{3}{2}}$  

•  $x^{\frac{4}{3}}y^{\frac{5}{2}}$  

•  $x^{\frac{2}{3}}y^{\frac{1}{2}}$  

•  $x^{\frac{1}{3}}y^{\frac{3}{2}}$  

•  $x^{\frac{2}{3}}y^{\frac{4}{3}}$  

Tags

CCSS.HSA.APR.A.1

Simplify . Your answer should contain only positive exponents.  $\left(a^{\frac{1}{2}}b^{\frac{1}{2}}\right)^{-1}$  

•  $\frac{1}{a^{\frac{1}{2}}b^{\frac{1}{2}}}$  

•  $a^{\frac{1}{2}}b^{\frac{1}{2}}$  

•  $-\frac{1}{a^{\frac{1}{2}}b^{\frac{1}{2}}}$  

•  $-a^{\frac{1}{2}}b^{\frac{1}{2}}$  

Tags

CCSS.HSA.APR.A.1

Simplify . Your answer should contain only positive exponents.  $\left(x^0y^{\frac{1}{3}}\right)^{\frac{3}{2}}x^0$  

•  $y^{\frac{1}{2}}$  

•  $1$  

•  $y^{\frac{4}{3}}$  

•  $0$  

Tags

CCSS.HSA.APR.A.1