Question
Simplify each expression. Assume that all variables represent positive real numbers. Write answers with only positive exponents.$$\frac{3^{-1} \cdot x \cdot y^{2}}{x^{-4} \cdot y^{5}}$$
Step 1
We know that $a^{-n} = \frac{1}{a^n}$, so we can rewrite $3^{-1}$ as $\frac{1}{3}$ and $x^{-4}$ as $\frac{1}{x^4}$. The expression becomes: $$ \frac{\frac{1}{3} \cdot x \cdot y^{2}}{\frac{1}{x^{4}} \cdot y^{5}} $$ Show more…
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