Prove that

Taking L.H.S,

where b≠0, a and b are real numbers, m is an integer)

(∵ if ‘a’ is a real no. and m, n are integers, then (a^m)ⁿ = a^mn)

( Product Rule: a^m × aⁿ = a^{m + n} , where ‘a’ is a real no. and m, n are positive integers.)

where ‘a’ is a non-zero real no. and m, n are positive integers.)

(∵ Number with zero exponent rule: If ‘a’ is a rational no. other than zero, then a⁰ = 1)

Hence, proved.