Prove the rule of exponents `(ab)^(n) = a^(n)b^(n)` by using principle of mathematical induction for every natural number.

Similar Questions

Explore conceptually related problems

Show by using the principle of mathematical induction that for all natural number n gt 2, 2^(n) gt 2n+1

Prove that by using the principle of mathematical induction for all n in N : (2n+7) lt (n+3)^(2)

Find the sum of first n even natural numbers.

Find the mean of first n natural numbers .

Prove that by using the principle of mathematical induction for all n in N : 41^(n)-14^(n) is multiple of 27

Prove that by using the principle of mathematical induction for all n in N : 10^(2n-1)+1 is divisible by 11

Prove that by using the principle of mathematical induction for all n in N : 3^(2n+2)-8n-9 is divisible by 8

Prove that by using the principle of mathematical induction for all n in N : x^(2n)-y^(2n) is divisible by x+y

Prove that by using the principle of mathematical induction for all n in N : 1+2+3+.....+n lt (1)/(8)(2n+1)^(2)

Prove the quotient rule using a^m/a^n=a^(m-n)