Question

Simplify the following expression to remove negative exponents.

Answer 1

When there is a negative exponent, you switch the side of the fraction it's on. If the negative exponent is the numerator or a whole number, like
`x^(-9)` or
`(x^(-9) )/(3)`, you move the exponent and its coefficient to the bottom so that it's part of the denominator, and remove the negative.

`x^(-9)` =
`(1)/(x^(9) )`

`(x^(-9) )/(3)`=
`(1)/(3x^(9) )`

If the exponent is on the bottom, or part of the denominator, like
`(1)/(x^(-4) )`, we move it to the top and take out the negative.

`(1)/(x^(-4) )` =
`x^(4)`

In our case, the expression is
`x^(-7)`.

So, using our new knowledge of negative exponents, we can take the exponent and put it as a denominator.

`x^(-7)` =
`(1)/(x^7)`

The answer would be the last answer.

hope this helps!