Question

find the value of m 5^m / 5^4 = 5^5 ​

Answer 1

Hope the answer is helpful for you...

Answer 2

Answer:

GIven,

    $\frac{5^m}{5^4} = 5^5$

It can be written as

    $5^m$ × $5^-^4$ = $5^5$

We know that,

    $a^m$ × $a^n$ = $a^m^+^n$

    ∴  $5^m$ × $5^-^4$ = $5^5$

    ⇒ $5^m^-^4 = 5^5$

Comparing powers,

    $m-4 =5$

    $m = 5+4$

    $m=9$

                     Hope it helps you^_^