Question

How do you simplify $8^{\frac{1}{3}}$?

Answer 1

Step $1$ : Find factors of $8$.

$8$ can be written as:

$8=2\times 2\times 2$

$8=2^3$

Step $2$ : Simplify the required term.

$8^{\frac{1}{3}}$$={\left(2^3\right)}^{\frac{1}{3}}$

Using the law of exponents,

${\left(2^3\right)}^{\frac{1}{3}}$ can be written as $2^{\frac{3}{3}}$.

Thus, $8^{\frac{1}{3}}$$=2^1$.

Hence, $8^{\frac{1}{3}}$ can be simplified as $2$.