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Indices — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSIndices2 Marks
Question
Solve for $x:p^3 \times p^{-2} = p^x$
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Answer

$p^3 \times p^{-2}=p^x$
$\Rightarrow p^{3+(-2)}=p^x \quad \ldots \ldots\left(\text { Using } a^m x a^n=a^{m-n}\right)$
$\Rightarrow p^1=p^x$
$\Rightarrow x=1 .$

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