Question

describe how to rewrite an expression with a negative exponent in the numerator

Answer 1

In other words x^-y = 1/ x^y

Answer 2

To rewrite an expression with a negative exponent in the numerator, you need to move the term with the negative exponent to the denominator and change the sign of the exponent to positive. For example,

$\frac{1}{x^{-2}}$ can be rewritten as $\frac{x^2}{1}$

To do this, you need to start with the original expression and multiply both the numerator and denominator by $x^2$ since $x^2$ is the reciprocal of $x^{-2}$. This gives us:

$\frac{1}{x^{-2}} \cdot \frac{x^2}{x^2} = \frac{x^2}{1}$

Simplifying, we get:

$\frac{1}{x^{-2}} = x^2$

Answer 3

Yes, that is correct. A term with a negative exponent can be rewritten by moving the base with the negative exponent to the denominator and changing the sign of the exponent to positive. Therefore, $x^{-y}$ can be rewritten as $\frac{1}{x^y}$.