Question

Use the law of exponents and simplify:
$\frac{2^{3^2}}{{\left(2^3\right)}^2}$

Answer 1

Consider, $\frac{2^{3^2}}{{\left(2^3\right)}^2}$ $=\frac{2^9}{2^6}$

$=2^{(9-6)}$ ........ [Using quotient rule of exponents]

$=2^3$

$=8$

Hence, the answer is $8$.