What is (3t^{-1})/(-3(t^{-1))^4} ?

The solution to (3t^{-1})/(-3(t^{-1))^4} is -t^3

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simplify (3t^{-1})/(-3(t^{-1))^4}

simplify

\frac{3 t ^{- 1}}{- 3 ( t ^{- 1} ) ^{4}}

- t^{3}

Solution steps

\frac{3 t ^{- 1}}{- 3 ( t ^{- 1} ) ^{4}}

Simplify

(t^{- 1})^{4} : \frac{1}{t ^{4}}

= \frac{3 t ^{- 1}}{- 3 \cdot \frac{1}{t ^{4}}}

Cancel the common factor:

3

= \frac{t ^{- 1}}{- \frac{1}{t ^{4}}}

Simplify

\frac{t ^{- 1}}{- \frac{1}{t ^{4}}} : - t^{3}

= - t^{3}

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What is (3t^{-1})/(-3(t^{-1))^4} ?
The solution to (3t^{-1})/(-3(t^{-1))^4} is -t^3