Answer:
Option C
Step-by-step explanation:
Use the property to convert each expression from exponent form to radical form.
[tex](a)^{\frac{1}{n}}=\sqrt[n]{a}[/tex]
a). [tex](b)^{\frac{4}{5}}=(b^4)^\frac{4}{5}[/tex]
[tex]=\sqrt[5]{b^4}[/tex]
b). [tex](8x)^\frac{2}{3}=[(8x)^2]^\frac{1}{3}[/tex]
[tex]=[64x^2]^\frac{1}{3}[/tex]
[tex]=[(4)^3x^2]^\frac{1}{3}[/tex]
[tex]=(4^3)^\frac{1}{3}(x^2)^\frac{1}{3}[/tex]
[tex]=4(x^2)^\frac{1}{3}[/tex]
[tex]=4\sqrt[3]{x^2}[/tex]
Therefore, Option C will be the answer.
