What is (-4w^{-4}x^3)/(12w^5x^{-1/8)} ?

The solution to (-4w^{-4}x^3)/(12w^5x^{-1/8)} is -(x^{25/8})/(3w^9)

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simplify (-4w^{-4}x^3)/(12w^5x^{-1/8)}

simplify

\frac{- 4 w ^{- 4} x ^{3}}{12 w ^{5} x ^{- \frac{1}{8}}}

- \frac{x ^{\frac{25}{8}}}{3 w ^{9}}

Solution steps

\frac{- 4 w ^{- 4} x ^{3}}{12 w ^{5} x ^{- \frac{1}{8}}}

Factor the number:

12 = 4 \cdot 3

= \frac{- 4 w ^{- 4} x ^{3}}{4 \cdot 3 w ^{5} x ^{- \frac{1}{8}}}

Cancel the common factor:

4

= \frac{- w ^{- 4} x ^{3}}{3 w ^{5} x ^{- \frac{1}{8}}}

Simplify

\frac{w ^{- 4}}{w ^{5}} : \frac{1}{w ^{9}}

= \frac{- x ^{3}}{3 w ^{9} x ^{- \frac{1}{8}}}

Simplify

\frac{x ^{3}}{x ^{- \frac{1}{8}}} : x^{\frac{25}{8}}

= \frac{- x ^{\frac{25}{8}}}{3 w ^{9}}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{x ^{\frac{25}{8}}}{3 w ^{9}}

\frac{1}{9} π

\frac{7 \cdot 1 0 ^{8}}{2 \cdot 1 0 ^{5}}

∣ 8 x + 6 ∣ = 8

- 3 y \leq - 18

p^{2} - 5 p = - 4

What is (-4w^{-4}x^3)/(12w^5x^{-1/8)} ?
The solution to (-4w^{-4}x^3)/(12w^5x^{-1/8)} is -(x^{25/8})/(3w^9)