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

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

Using principle of mathematical induction prove that sqrt(n) =2

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

Prove by using principle of mathematical induction :2^(n)<3^(n),n in N

Using the principle of mathematical induction, prove that n<2^(n) for all n in N

By using principle of mathematical induction, prove that 2+4+6+….2n=n(n+1), n in N

Prove by the principle of mathematical induction that for all n in N,n^(2)+n is even natural number.

Prove the following by using the principle of mathematical induction. n(n+1)+1 is an odd natural number, n in N .

Prove by the principle of mathematical induction that n<2^(n) for alln in N

Prove the following by using the Principle of mathematical induction AA n in N 3^(n)>2^(n)