Question

Write the expression with positive exponents only. Then​ simplify, if possible.
StartFraction x Superscript negative 1 Over y Superscript negative 4 EndFraction
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Part 1
StartFraction x Superscript negative 1 Over y Superscript negative 4 EndFraction
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Answer 1

To rewrite the expression \(\frac{x^{-1}}{y^{-4}}\) with positive exponents only, we can apply the rule that states \(a^{-n} = \frac{1}{a^n}\).

So, we can rewrite the given expression as follows:

\[
\frac{x^{-1}}{y^{-4}} = \frac{1}{x^1} \cdot y^4 = \frac{y^4}{x}
\]

Thus, the expression with positive exponents is:

\[
\frac{y^4}{x}
\]

If we further simplify, there are no like terms to combine, so the final simplified form remains:

\[
\frac{y^4}{x}
\]