What is (15d^{-9}t^4)/((5d^{-3)t)^{-2}} ?

The solution to (15d^{-9}t^4)/((5d^{-3)t)^{-2}} is (375t^6)/(d^{15)}

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simplify (15d^{-9}t^4)/((5d^{-3)t)^{-2}}

simplify

\frac{15 d ^{- 9} t ^{4}}{( 5 d ^{- 3} t ) ^{- 2}}

\frac{375 t ^{6}}{d ^{15}}

Solution steps

\frac{15 d ^{- 9} t ^{4}}{( 5 d ^{- 3} t ) ^{- 2}}

Simplify

(5 d^{- 3} t)^{- 2} : 5^{- 2} d^{6} t^{- 2}

= \frac{15 d ^{- 9} t ^{4}}{5 ^{- 2} d ^{6} t ^{- 2}}

Factor the number:

15 = 5 \cdot 3

= \frac{5 \cdot 3 d ^{- 9} t ^{4}}{5 ^{- 2} d ^{6} t ^{- 2}}

\frac{5}{5 ^{- 2}} = 5^{3}

= \frac{5 ^{3} \cdot 3 d ^{- 9} t ^{4}}{d ^{6} t ^{- 2}}

Simplify

\frac{t ^{4}}{t ^{- 2}} : t^{6}

= \frac{5 ^{3} \cdot 3 d ^{- 9} t ^{6}}{d ^{6}}

Simplify

\frac{d ^{- 9}}{d ^{6}} : \frac{1}{d ^{15}}

= \frac{5 ^{3} \cdot 3 t ^{6}}{d ^{15}}

Simplify

5^{3} \cdot 3 t^{6} : 375 t^{6}

= \frac{375 t ^{6}}{d ^{15}}

6 x^{2} - 23 x + 7

- 4 z^{2} - 3 z + 5 = 0

w^{6} - 64 w^{3}

8 - 6 (x + 9) = - 2 (x + 1)

\frac{8}{5} + 1

What is (15d^{-9}t^4)/((5d^{-3)t)^{-2}} ?
The solution to (15d^{-9}t^4)/((5d^{-3)t)^{-2}} is (375t^6)/(d^{15)}