Question

Find the value of m for which 5 raised power m divided by 5 raised power -3 = 5 raised 5

Answer 1

Answer:

m = 2

Step-by-step explanation:

We have to use this formula

$a^x/a^y =a^{x-y}$

Given :

$5^m/5^{-3} =5^5$

Using the above formula , we can write

$5^m/5^{-3}=5^{m-(-3)}=5^{m+3$

So,

$5^{m+3}=5^5$

That  implies

     m + 3 = 5

=>  m = 5-3

=>  m = 2