Question

How do we get a raised m divide by a raised to n gives a answer a raised to m-n?

Answer 1

As per exponent rule, at dividing of powers with the same base their exponents are subtracted i.e.
a^m
---- = a^m-n
aⁿ

let us suppose a^m = a⁵ and aⁿ = a³

Now a⁵ = a.a.a.a.a and a³ = a.a.a

On dividing, we get a⁵ / a³ = a.a.a.a.a / a.a.a = a.a = a² or a^5-3

a^m
Thus, we can say, ---- = a^m-n
aⁿ