Question
On dividing $8^5$ by _________ we get $8.$
✓
Answer
Let $8^5$ be divided by $x$ to get $8.$
So, $8^5÷ x = 8$
$\Rightarrow8^5\times\frac{1}{\text{x}}=8$
$\Rightarrow\frac{8^5}{8}=\text{x}$
$\therefore$ $\text{x}=\frac{8^5}{8^1}=8^{5-1}=8^4[\because$ $a^m÷ a^n= (a)^{m-n}]$
So, $8^5÷ x = 8$
$\Rightarrow8^5\times\frac{1}{\text{x}}=8$
$\Rightarrow\frac{8^5}{8}=\text{x}$
$\therefore$ $\text{x}=\frac{8^5}{8^1}=8^{5-1}=8^4[\because$ $a^m÷ a^n= (a)^{m-n}]$
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