What is ((3t^{-1})^{-3})/(4t^7j) ?

The solution to ((3t^{-1})^{-3})/(4t^7j) is 1/(108jt^4)

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simplify ((3t^{-1})^{-3})/(4t^7j)

simplify

\frac{( 3 t ^{- 1} ) ^{- 3}}{4 t ^{7} j}

\frac{1}{108 j t ^{4}}

Solution steps

\frac{( 3 t ^{- 1} ) ^{- 3}}{4 t ^{7} j}

Simplify

(3 t^{- 1})^{- 3} : \frac{t ^{3}}{27}

= \frac{\frac{t ^{3}}{27}}{4 t ^{7} j}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{t ^{3}}{27 \cdot 4 t ^{7} j}

Simplify

\frac{t ^{3}}{t ^{7}} : \frac{1}{t ^{4}}

= \frac{1}{27 \cdot 4 t ^{4} j}

Simplify

27 \cdot 4 t^{4} j : 108 j t^{4}

= \frac{1}{108 j t ^{4}}

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What is ((3t^{-1})^{-3})/(4t^7j) ?
The solution to ((3t^{-1})^{-3})/(4t^7j) is 1/(108jt^4)