contestada

which of the following expressions is equivalent to the expression a2/3?

A.√a^3
B. 3√a
C. 3√a^2
D.√a

Respuesta :

Answer:

The given expression [tex]a^{\frac{2}{3}}[/tex] is eqiuivalent to   [tex]\sqrt[3]{a^2}[/tex]

Step-by-step explanation:

Given: Expression [tex]a^{\frac{2}{3}}[/tex]

We have to choose the correct option that is equivalent to the given expression [tex]a^{\frac{2}{3}}[/tex]

Consider the given expression [tex]a^{\frac{2}{3}}[/tex]

We know [tex]\sqrt[3]{x}=x^{\frac{1}{3}}[/tex]

Thus,  [tex]a^{\frac{2}{3}}=\sqrt[3]{a^2}[/tex]

Thus, The given expression [tex]a^{\frac{2}{3}}[/tex] is eqiuivalent to   [tex]\sqrt[3]{a^2}[/tex]