MATH SOLVE

4 months ago

Q:
# Simplify.write the expression using only positive exponents.

Accepted Solution

A:

The final answer with only positive exponents is:[tex]\frac{f^2}{g^5}[/tex]Further explanation:The given expression contains positive and negative expressionsWhen an exponents is taken from numerator to denominator and vice versa its sign is changedGiven:[tex]\frac{g^{-3}}{f^{-2}g^2}[/tex]The expression can be broken down to:[tex]=\frac{g^{-3}}{1}*\frac{1}{f^{-2}}*\frac{1}{g^2}[/tex]Moving exponents to make the powers positive[tex]=\frac{1}{g^{3}}*\frac{f^{2}}{1}*\frac{1}{g^2}[/tex]The final answer with only positive exponents is:[tex]\frac{f^2}{g^5}[/tex]Keywords: Exponents, fractionsLearn more about exponents at:brainly.com/question/5059091brainly.com/question/5013374#learnwithBrainly