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Exponents and Powers — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSExponents and Powers1 Mark
Question
Say true or false and Justify your answer.
$2^3 \times 3^2=6^5$
✓

Answer

False, $2^3 \times 3^2 \neq 6^5$
Justification
$\begin{array}{l}\text { LHS }=2^3 \times 3^2=(2 \times 2 \times 2) \times(3 \times 3)=8 \times 9=72 \\ \text { RHS }=6^5=6 \times 6 \times 6 \times 6 \times 6=7776\end{array}$
$\begin{array}{l}\because \quad 72 \neq 7776, \text { so LHS } \neq \text { RHS } \\ \text { Therefore, } 2^3 \times 3^2 \neq 6^5\end{array}$

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