Question

simplify 2^2/3 * 2^1/5

Answer 1

Exponents :

Here we shall use the rule for Exponents :

${ \bold{a {}^{m} \times a {}^{n} = a {}^{m + n} }}$

This means that when the bases of two exponents are the same , then their powers are added .

Here also , the base is same so we can add the powers.

$= > 2 {}^{ \frac{2}{3} } \times 2 {}^{ \frac{1}{5} } \\ \\ = > 2 {}^{ \frac{2}{3} + \frac{1}{5} } \\ \\ = > 2 {}^{ \frac{13}{15} }$

$= > { \bold{ \mathfrak{hence \: our \: answer \: is \: 2 {}^{ \frac{13}{15} } }}}$

Answer 2

Step-by-step explanation:

simplify 2^2/3 * 2^1/5