Question

find the value of 2⁵x÷2x=⁵√2²⁰​

Answer 1

$= {2}^{5x} \div {2}^{x} = \sqrt[5]{ {2}^{20} }$

$= \frac{ {2}^{5x} }{ {2}^{x} } = ( {2}^{20} )^{ \frac{1}{5} }$

$= {2}^{5x - x} = {2}^{20 \times \frac{1}{5} }$

$= {2}^{4x} = {2}^{4}$

$= 4x = 4$

=$\bold{\boxed{x=1}}$