## Related questions with answers

Question

Write an equivalent expression without negative exponents and, if possible, simplify.

$\frac{5 a^{-3} b c^{-1}}{d^{-6} f^2}$

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 2Since $a^{-1}=\dfrac{1}{a}$ and $\dfrac{1}{a^{-1}}=a$, then,

$\begin{align*} \dfrac{5a^{-3}bc^{-1}}{d^{-6}f^2} &\Rightarrow \dfrac{5bd^{6}}{a^{3}c^{1}f^2} \\\\&= \dfrac{5bd^{6}}{a^{3}cf^2} .\end{align*}$

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