Question

Simplify and write the answer in the exponential form. (2^3 ÷ 2^5)^2 × 2^5 . ​

Answer 1

$( {2}^{3} \div {2}^{5} ) {}^{2} \times {2}^{5}$

$= ( {2}^{3 - 5} ) {}^{2} \times 2 {}^{5}$

$= ( {2}^{ - 2} ) {}^{2} \times {2}^{5}$

$2 {}^{ - 2 \times 2} \times {2}^{5}$

${2}^{ - 4} \times {2}^{5}$

${2}^{ - 4 + 5}$

${2}^{1}$