Write 2x to the power of -2 without negative indices.

How is the answer 2/x squared? Please explain

A negative exponent indicates division. Consider

x^-2 * x^2 = x^0 = 1
therefore,

x^-2 = 1/x^2

In your case,

2x^-2 = 2/x^2

A negative exponent in the numerator becomes positive in the denominator, and vice-versa. So,

x^-2/y^-3 = y^3/x^2