Question

Prove the rule of exponents (ab)^n = a^n×b^n.
plz help me..!!!!​

Answer 1

Take any two numbers.

Let

a = 3

b = 4

n = 2

${(ab)}^{n} = {a}^{n} \times {b}^{n} \\ \\ {(3 \times 4)}^{2} = {3}^{2} \times {4}^{2} \\ \\ {(12)}^{2} = 9 \times 16 \\ \\ 144 = 144$

LHS = RHS

Hence proved.