Question

Simplify :
$\frac{8^{3a}\times 2^5\times 2^{2a}}{4\times 2^{11a}\times 2^{-2a}}$

Answer 1

we can write $8^x=2^{3x}$

so $8^{3a}=2^{9a}$

$8^{3a}\times 2^5\times 2^{2a}=2^{9a}\times 2^{2a+5}=2^{11a+5}$

$4=2^2$

$4\times 2^{11a}\times 2^{-2a}=2^2\times 2^{9a}=2^{9a+2}$

$\frac{2^{11a+5}}{2^{9a+2}}=2^{2a+3}$