Find m so that (–3)^ m+1 × (–3)^ 5 = (–3)^ 7 - Vidyadip

Question

Find m so that $(–3)^{m+1} × (–3)^{5} = (–3)^{7}$

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Answer

$(–3)^{m+1} × (–3)^{5} = (–3)^{7}$
$(-3)^{m+1+5}= (-3)^7$
$(-3)^{m+6}= (-3)^7$
Therefore, $m + 6 = 7$
or $m = 7 – 6 = 1$

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