The final answer with only positive exponents is:
[tex]\frac{f^2}{g^5}[/tex]
Further explanation:
The given expression contains positive and negative expressions
When an exponents is taken from numerator to denominator and vice versa its sign is changed
Given:
[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, fractions
Learn more about exponents at:
- brainly.com/question/5059091
- brainly.com/question/5013374
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