Home
Class 12
MATHS
Prove the rule of exponents (a b)^n=a^n ...

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

Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

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

Prove by the principle of mathematical induction that 2^ n >n for all n∈N.

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

Using the principle of mathematical induction prove that 41^n-14^n is a multiple of 27 .

Prove by the principle of mathematical induction that n<2^n"for all"n in Ndot

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