Question

find the value of m:
${9}^{m } \div {3}^{ - 2} = {9}^{4 }$
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Answer 1

Step-by-step explanation:

$\frac{ {9}^{m} }{ {3}^{ - 2} } = {9}^{4} \\ \frac{ {3}^{2m} }{ {3}^{ - 2} } = {3}^{2 \times 4} \\ {3}^{2m - ( - 2)} = {3}^{8} \\ {3}^{2m + 2} = {3}^{8} \\ comparing \: the \: roots \\ 2m + 2 = 8 \\ 2m = 6 \\ m = 3$