What is ((5w^{-4}h^5)^{-4})/(4w^2) ?

The solution to ((5w^{-4}h^5)^{-4})/(4w^2) is (w^{14})/(2500h^{20)}

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simplify ((5w^{-4}h^5)^{-4})/(4w^2)

simplify

\frac{( 5 w ^{- 4} h ^{5} ) ^{- 4}}{4 w ^{2}}

\frac{w ^{14}}{2500 h ^{20}}

Solution steps

\frac{( 5 w ^{- 4} h ^{5} ) ^{- 4}}{4 w ^{2}}

Simplify

(5 w^{- 4} h^{5})^{- 4} : \frac{w ^{16}}{625 h ^{20}}

= \frac{\frac{w ^{16}}{625 h ^{20}}}{4 w ^{2}}

Apply the fraction rule:

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

= \frac{w ^{16}}{625 h ^{20} \cdot 4 w ^{2}}

Simplify

\frac{w ^{16}}{w ^{2}} : w^{14}

= \frac{w ^{14}}{625 h ^{20} \cdot 4}

Multiply the numbers:

625 \cdot 4 = 2500

= \frac{w ^{14}}{2500 h ^{20}}

- 11 = - 11 a + 33

4 ∣ x - 2 ∣ > 5

294

7 (3 x + 5) = 11 - (x + 9)

What is ((5w^{-4}h^5)^{-4})/(4w^2) ?
The solution to ((5w^{-4}h^5)^{-4})/(4w^2) is (w^{14})/(2500h^{20)}