Posted by **10M1** on Tuesday, December 20, 2011 at 5:11pm.

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

How is the answer 2/x squared? Please explain

- Maths -
**Steve**, Tuesday, December 20, 2011 at 6:27pm
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

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