Question

Simplify.write the expression using only positive exponents.

Answer 1

The final answer with only positive exponents is:

$\frac{f^2}{g^5}$

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:

$\frac{g^{-3}}{f^{-2}g^2}$

The expression can be broken down to:

$=\frac{g^{-3}}{1}*\frac{1}{f^{-2}}*\frac{1}{g^2}$

Moving exponents to make the powers positive

$=\frac{1}{g^{3}}*\frac{f^{2}}{1}*\frac{1}{g^2}$

The final answer with only positive exponents is:

$\frac{f^2}{g^5}$

Keywords: Exponents, fractions

Learn more about exponents at:

• brainly.com/question/5059091
• brainly.com/question/5013374

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