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

1 Answer
May 29, 2018

Answer:

#(x^4y)/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:

#=(x^4y)/7#