Question

x^m + x^m = x^2m, where x is a non-zero rational number and m is a positive integer.

Options

• True

• False

Answer 1

This statement is False.

Explanation:

a^m × aⁿ = a^{m + n}

x^m × x^m = x^{m + m} = x^2m

Also, a^k + a^k = 2a^k

So, x^m + x^m = 2x^m