Question

x^m × y^m = (x × y)^2m, where x and y are non-zero rational numbers and m is a positive integer.

Options

• True

• False

Answer 1

This statement is False.

Explanation:

If a and b are rational numbers, then

x^m × y^m = (ab)^m

x^m × y^m = (xy)^m = (x × y)^m

Hence, x^m × y^m ≠ (x × y)^2m