Review - Rational Exponents and Radicals

Which radical equation is equivalent to

 $a^{\frac{1}{5}}$  ?

•  $\frac{1}{\left(\sqrt{a}\right)^5}$  

•  $_{5_{\sqrt{a}}}$  

•  $_{\frac{1}{5}_{\sqrt{a}}}$  

•  $\frac{1}{_{5_{\sqrt{a}}}}$  

Which exponential expression is equivalent to

 $8_{\sqrt{y^3}}$  ?

•  $\frac{1}{y^{\frac{8}{3}}}$  

•  $\frac{1}{y^{\frac{3}{8}}}$  

•  $y^{\frac{8}{3}}$  

•  $y^{\frac{3}{8}}$  

Which expression is equivalent to

 $5_{\sqrt{b^9}}$  ?

•  $\left(b^5\right)^{\frac{1}{9}}$  

•  $b^{\frac{9}{5}}$  

•  $b^{\frac{5}{9}}$  

• None of the Above

Rewrite the expression in the form of  $b^n.$  

 $b^4\cdot b^{\frac{1}{4}}$  

•  $b$  

•  $b^{\frac{5}{4}}$  

•  $b^{\frac{15}{4}}$  

•  $b^{\frac{17}{4}}$  

Rewrite the expression in the form of b^n.

 $\left(b^2\right)^{\frac{3}{7}}$  

Product of a Power Property states: keep the base the same and do this to the exponents.

• multiply

• add

• subtract

• divide

Power of a Power Property states: keep the base the same and do this to the exponents.

• multiply

• add

• subtract

• divide

Quotient of Powers states: keep the base the same and do this to the exponents.

• multiply

• add

• subtract

• divide

• x^2.75
• x⁴⁴
• x¹⁵
• x⁷

Tags

CCSS.HSA.APR.A.1

• w⁻³

• w³

• w²

• w⁻¹³

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.2