Question

Chapter:- Exponent

Find m for which:-

$5 ^{m} \div 5 ^{ - 3} = 5 ^{5}$
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Answer 1

Answer:

5^m/5^(-3)=5^5

5^m=5^5.5^(-3)

5^m=5^(5-3)

5^m=5^2

on comparing the powers, we get

m=2

I hope it will help you

Answer 2

Answer:

Here's your answer mate

Step-by-step explanation:

5^m÷5^-3= 5^5

=>5^m/5^-3=5^5

=>5^m-(-3)=5^5(since a^m/a^n=a^m-n)

5^m+3=5^5

As bases are equal, powers are also equal

m+3=5

m=5-3=2

m=2

Always be happy dear ☺