What is (2w^{-1})/((-3w^{-3))^4} ?

The solution to (2w^{-1})/((-3w^{-3))^4} is (2w^{11})/(81)

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simplify (2w^{-1})/((-3w^{-3))^4}

simplify

\frac{2 w ^{- 1}}{( - 3 w ^{- 3} ) ^{4}}

\frac{2 w ^{11}}{81}

Solution steps

\frac{2 w ^{- 1}}{( - 3 w ^{- 3} ) ^{4}}

Simplify

2 w^{- 1} : \frac{2}{w}

= \frac{\frac{2}{w}}{( - 3 w ^{- 3} ) ^{4}}

Apply the fraction rule:

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

= \frac{2}{w ( - 3 w ^{- 3} ) ^{4}}

Simplify

w (- 3 w^{- 3})^{4} : \frac{81}{w ^{11}}

= \frac{2}{\frac{81}{w ^{11}}}

Apply the fraction rule:

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

= \frac{2 w ^{11}}{81}

(10 - 6) (42)

6 \cdot 5 \cdot 4 \cdot 3

11 - 6

18 - 6

21 - 8

What is (2w^{-1})/((-3w^{-3))^4} ?
The solution to (2w^{-1})/((-3w^{-3))^4} is (2w^{11})/(81)