Question

What is $2^{\frac{4}{3}}$equal to?

Answer 1

Exponent power of a number.

According to the laws of exponent,

$a^{mn}={\left(a^m\right)}^n={\left(a^n\right)}^m$

We can write $2^{4/3}$ in above way.

$$\begin{gathered} \therefore 2^{4/3}={\left(2^4\right)}^{\frac{1}{3}} \\ \Rightarrow ={(2\times 2\times 2\times 2)}^{\frac{1}{3}} \\ \Rightarrow =2·\sqrt[3]{2} \end{gathered}$$

Hence, the required answer is $2·\sqrt[3]{2}$.