Say true or false and justify your answer: 2^3 3^2 = 6^5 - Vidyadip

Question

Say true or false and justify your answer: $2^3 \times 3^2 = 6^5$

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Answer

Say true or false and justify your answer: $2^3 \times 3^2=6^5$
$LHS =$ Expand $2^3$ and $3^2$
$2^3=2 \times 2 \times 2=8$
$5^2=5 \times 5=25$
$=8 \times 25=200$
$\text { RHS }=6^5$
$6 \times 6 \times 6 \times 6 \times 6=7776$
$2^3 \times 3^2<6^5$
$\therefore 2^3 \times 3^2=6^5 \text { is false }$

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