Find the value of m for which 5^m ÷ 5^-3 = 5⁵.

Formula

a^m/aⁿ = a^(m-n)

a^m × aⁿ = a^(m+n)

aⁿ = a^m, then n = m

By using above formula in question:

5^m ÷ 5^-3 = 5⁵

⇒ 5^m+3 = 5⁵

⇒ m + 3 = 5

⇒ m = 2