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Exponents — Maths STD 7 — Question

Maharashtra BoardEnglish MediumSTD 7MathsExponents2 Marks
Question
Find the vallue of n when:
$5^{2 n} \times 5^3=5^9$
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Answer

$5^{2 n} \times 5^3=5^9$
$\Rightarrow 5^{2 n+3}=5^9$
Comparing we get,
$2 n+3=9$
$\Rightarrow 2 n=9-3$
$\Rightarrow 2 n=6$
$\Rightarrow n=\frac{6}{2}=3$
$\therefore n=3$

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