Question

Find the value of ‘m’ for which 5^m÷5^-3 = 5^5​

Answer 1

Answer:

8

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Answer 2

Answer:

$\frac{ {5}^{m} }{ {5}^{ - 3} } = {5}^{5} \\ {5}^{m} = {5}^{5} \times {5}^{ - 3} \\ {5}^{m} = {(5)}^{5 + ( - 3)} \\ {5}^{m} = {(5)}^{5 - 3} \\ {5}^{m} = {5}^{2} \\ m = \underline{ \underline{2}}$