What is ((4yh^3)^{-5})/(20h^{-4)} ?

The solution to ((4yh^3)^{-5})/(20h^{-4)} is 1/(20480h^{11)y^5}

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simplify ((4yh^3)^{-5})/(20h^{-4)}

simplify

\frac{( 4 y h ^{3} ) ^{- 5}}{20 h ^{- 4}}

\frac{1}{20480 h ^{11} y ^{5}}

Solution steps

\frac{( 4 y h ^{3} ) ^{- 5}}{20 h ^{- 4}}

Simplify

(4 y h^{3})^{- 5} : 4^{- 5} y^{- 5} \frac{1}{h ^{15}}

= \frac{4 ^{- 5} y ^{- 5} \frac{1}{h ^{15}}}{20 h ^{- 4}}

Factor the number:

20 = 4 \cdot 5

= \frac{4 ^{- 5} y ^{- 5} \frac{1}{h ^{15}}}{4 \cdot 5 h ^{- 4}}

\frac{4 ^{- 5}}{4} = \frac{1}{4 ^{6}}

= \frac{y ^{- 5} \frac{1}{h ^{15}}}{4 ^{6} \cdot 5 h ^{- 4}}

Simplify

\frac{y ^{- 5} \frac{1}{h ^{15}}}{4 ^{6} \cdot 5 h ^{- 4}} : \frac{1}{h ^{11} y ^{5} \cdot 20480}

= \frac{1}{h ^{11} y ^{5} \cdot 20480}

= \frac{1}{20480 h ^{11} y ^{5}}

(1 + 2 i) (3 + 4 i)

16 x^{2} - 80 x + 100

\frac{1}{7} (\frac{7}{11})

1 + (x^{2} - \frac{1}{4 x ^{2}})^{2}

What is ((4yh^3)^{-5})/(20h^{-4)} ?
The solution to ((4yh^3)^{-5})/(20h^{-4)} is 1/(20480h^{11)y^5}