Question

Choose the correct answer for the following:

a^m * a^n is equal to

(A) a^m + a^n (B) a^ m-n (C) a^ m+n (D) a^mn

Answer 1

Answer:

a^m * a^n = a^(m+ n)

Step-by-step explanation:

a^m * a^n is equal to

When two numbers are multiplied then there power is added

a^m = a*a * a    ------------------ m time

a^n = a*a * a    ------------------ n time

a^m * a^n = ( a*a * a    ------------------ m time) * (a*a * a    ------------------ n time)

=> a^m * a^n =  a*a * a    ------------------ (m+n) times

=> a^m * a^n = a^(m+ n)

a^m * a^n = a^(m+ n)

Hence option C is correct