What is (-12h^{-4})/((4h^{-5))^4} ?

The solution to (-12h^{-4})/((4h^{-5))^4} is -(3h^{16})/(64)

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simplify (-12h^{-4})/((4h^{-5))^4}

simplify

\frac{- 12 h ^{- 4}}{( 4 h ^{- 5} ) ^{4}}

- \frac{3 h ^{16}}{64}

Solution steps

\frac{- 12 h ^{- 4}}{( 4 h ^{- 5} ) ^{4}}

Simplify

(4 h^{- 5})^{4} : 4^{4} \cdot \frac{1}{h ^{20}}

= \frac{- 12 h ^{- 4}}{4 ^{4} \cdot \frac{1}{h ^{20}}}

Factor the number:

12 = 4 \cdot 3

= \frac{- 4 \cdot 3 h ^{- 4}}{4 ^{4} \cdot \frac{1}{h ^{20}}}

\frac{4}{4 ^{4}} = \frac{1}{4 ^{3}}

= \frac{- 3 h ^{- 4}}{4 ^{3} \cdot \frac{1}{h ^{20}}}

Simplify

\frac{- 3 h ^{- 4}}{4 ^{3} \cdot \frac{1}{h ^{20}}} : - \frac{3 h ^{16}}{64}

= - \frac{3 h ^{16}}{64}

\frac{1}{x - 1} + \frac{1}{x + 1}

\frac{4 + 3 i}{5 - 3 i}

\frac{sec ( θ )}{cos ( θ )} - \frac{tan ( θ )}{cot ( θ )}

16 \cdot 4

(- c)^{4}

What is (-12h^{-4})/((4h^{-5))^4} ?
The solution to (-12h^{-4})/((4h^{-5))^4} is -(3h^{16})/(64)