Question

Evalute:
$2^3÷2^8$

Answer 1

Step:Finding the value using laws of exponents

Given ,$2^3÷2^8$

Now ,we know that

$2^3÷2^8=\frac{2^3}{2^8}$ [$\because (\frac{a^m}{a^n}=a^{m-n})$]
$=2^{3-8}$
$=2^{-5}$ [$\because a^{-m}=\frac{1}{a^m}$]
$=\frac{1}{2^5}$

$=\frac{1}{2\times 2\times 2\times 2\times 2}$
$=\frac{1}{32}$

Hence,he value of $2^3÷2^8$ is $\frac{1}{32}$.