Gujarat BoardEnglish MediumSTD 8MATHSExponents and Powers2 Marks
Question
find the value of $n$. $\frac{6^\text{n}}{6^{-2}}=6^3$
✓
Answer
Given,
$\frac{6^\text{n}}{6^{-2}}=6^3$
Using law of exponents, $\frac{6^\text{n}}{6^{-2}}=6^3$ [$\because$ a is non-zero integer]
$\Rightarrow6^{\text{n}+1}=6^3$ [$\because$ $a^m÷ a^n= a^{m-n}] $
On comparing both sides, we get
$n + 2 = 3$
$\Rightarrow n = 1$
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