Question

3^m÷3^-5= 3^8 find m Value

Answer 1

m+5=8or m=8-5=3.........

Answer 2

Hi there

Here We have

$\frac{ {3}^{m} }{ {3}^{ - 5} } = {3}^{8} \\ \\ = > {3}^{m - ( - 5)} = {3}^{8} \\ \\ (since \: \: \: \frac{ {a}^{x} }{ {a}^{y} } = {a}^{x - y} ) \\ \\ = > m \: + 5 = 8 \\ \\ = > m \: = 8 - 5 \\ \\ = > m \: = 3$
Hope this helps you ☺