Question

find the value of m if 5^m ÷ 5^(-3) = 5^7​

Answer 1

Answer:

${\huge{\bold{\boxed{Answer}}}}$

$\frac{ {5}^{m} }{ {5}^{ - 3} } = {5}^{7} \\ \\ = > {5}^{m} = {5}^{7} \times {5}^{ - 3} \\ \\ = > {5}^{m} = {5}^{(7 - 3)} \\ \\ = > {5}^{m} = {5}^{4}$

${\bold{\boxed{\red{m \; = \; 4}}}}$