Question

Use the negative exponent rules to simplify.
StartFraction 5 Over w Superscript negative 4 EndFraction
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Part 1
StartFraction 5 Over w Superscript negative 4 EndFraction
equals
  
enter your response here  ​(Simplify your answer. Use positive exponents​ only.)

Answer 1

To simplify the expression \(\frac{5}{w^{-4}}\) using the negative exponent rule, we can apply the rule that states \(a^{-n} = \frac{1}{a^n}\). Specifically, in this case, we have:

\[
\frac{5}{w^{-4}} = 5 \cdot \frac{1}{w^{-4}} = 5 \cdot w^{4}
\]

Now, rewriting the expression, we get:

\[
5 w^{4}
\]

Thus, the simplified form of \(\frac{5}{w^{-4}}\) is:

\[
5w^4
\]

So, your answer is:

\[
5w^{4}
\]