What is (10v^3t^{-5})/((2v^2t^{-2))^{-5}} ?

The solution to (10v^3t^{-5})/((2v^2t^{-2))^{-5}} is (320v^{13})/(t^{15)}

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simplify (10v^3t^{-5})/((2v^2t^{-2))^{-5}}

simplify

\frac{10 v ^{3} t ^{- 5}}{( 2 v ^{2} t ^{- 2} ) ^{- 5}}

\frac{320 v ^{13}}{t ^{15}}

Solution steps

\frac{10 v ^{3} t ^{- 5}}{( 2 v ^{2} t ^{- 2} ) ^{- 5}}

Simplify

(2 v^{2} t^{- 2})^{- 5} : 2^{- 5} \cdot \frac{1}{v ^{10}} t^{10}

= \frac{10 v ^{3} t ^{- 5}}{2 ^{- 5} \cdot \frac{1}{v ^{10}} t ^{10}}

Factor the number:

10 = 2 \cdot 5

= \frac{2 \cdot 5 v ^{3} t ^{- 5}}{2 ^{- 5} \cdot \frac{1}{v ^{10}} t ^{10}}

\frac{2}{2 ^{- 5}} = 2^{6}

= \frac{2 ^{6} \cdot 5 v ^{3} t ^{- 5}}{\frac{1}{v ^{10}} t ^{10}}

Simplify

\frac{t ^{- 5}}{t ^{10}} : \frac{1}{t ^{15}}

= \frac{2 ^{6} \cdot 5 v ^{3}}{\frac{1}{v ^{10}} t ^{15}}

Simplify

\frac{2 ^{6} \cdot 5 v ^{3}}{\frac{1}{v ^{10}} t ^{15}} : \frac{320 v ^{13}}{t ^{15}}

= \frac{320 v ^{13}}{t ^{15}}

\frac{- 8}{- 3}

\frac{1}{- \frac{1}{4}}

(2 x^{2} + x + 1) (x - 1)

4356

(4 x^{2} + 8 x + 15) + (x^{2} - x - 27) - (x + 5) (x - 7)

What is (10v^3t^{-5})/((2v^2t^{-2))^{-5}} ?
The solution to (10v^3t^{-5})/((2v^2t^{-2))^{-5}} is (320v^{13})/(t^{15)}