Question

find the value of m for which 5 ^m ÷ 5 ^ - 3 = 5 ^ 5

Answer 1

${5}^{m} \div {5}^{ - 3} = {5}^{5}$
5^m = 5^5-5^-3
5^m = 5^2
m=2

Answer 2

=>5^m ÷ 5^-3=5⁵
=>5^m-(-3)=5⁵
Both have same base. so,
=>m+3=5
=>m=5-3
=2