Question

simplify :- 2^2/3 x2^1/5​

Answer 1

$\huge\tt{\bold{\underline{\underline{Question᎓}}}}$

simplify :- 2^2/3 x2^1/5

$\huge\tt{\bold{\underline{\underline{Answer᎓}}}}$

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

$\huge\mathcal{Rules}$

• In multiplication If base is same but power is different of some value then their power gets added
• similarly,In division if base is same of some value then its power gets substracted

Here ,both value is same say 2 having Power different power then here power gets added

Now ,solving question:-

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

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