Question

find
$m \: so \: that \: ( - 3) {}^{m + 1} \times ( - 3) { }^{5} = ( - 3) {}^{7}$
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Answer 1

Answer:

$m + 6 = 7 \: \: or \: \: m = 7 - 6 = 1$

Step-by-step explanation:

$( - 3) {}^{m + 1} \times ( - 3) {}^{5} = ( - 3) {}^{7} \\ ( - 3) {}^{m + 1 + 5} = ( - 3) {}^{7} \\ ( - 3) {}^{m + 6} = ( - 3) {}^{7}$

On both the sides powers have the same base different from 1 and -1,so their exponents must be equal.

$Therefore, \: (m + 6 = 7) \: or \\\: (m = 7 - 6 = 1)$

Answer 2

$\boxed{Explained\:Answer}$

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