# How do you rewrite 1/ (7x^-4y^-1) using positive exponents?

May 29, 2018

$\frac{{x}^{4} y}{7}$

#### Explanation:

We change the sign of an exponent when we move the term with that exponent to the other side of the fraction.

Some examples in math:

a^(–b) = 1/a^b " "and" "x/y^(–z)=xy^z

For this question, we can change the sign of the x^(–4) and y^(–1) terms if we move them to the top of the fraction like this:

1/(7x^(–4)y^(–1))" "=" "(1x^4y^1)/7

Then, since multiplying something by 1 doesn't change its value, and raising something to the power of 1 also doesn't change its value, we can remove the 1's from this fraction:

$= \frac{{x}^{4} y}{7}$