What is (20d^9(-2)p^3)/(4d^3(-2)p^3) ?

The solution to (20d^9(-2)p^3)/(4d^3(-2)p^3) is 5d^6

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simplify (20d^9(-2)p^3)/(4d^3(-2)p^3)

simplify

\frac{20 d ^{9} ( - 2 ) p ^{3}}{4 d ^{3} ( - 2 ) p ^{3}}

5 d^{6}

Solution steps

\frac{20 d ^{9} ( - 2 ) p ^{3}}{4 d ^{3} ( - 2 ) p ^{3}}

Multiply the numbers:

20 (- 2) = - 40

= \frac{- 40 d ^{9} p ^{3}}{4 d ^{3} ( - 2 ) p ^{3}}

Multiply the numbers:

4 (- 2) = - 8

= \frac{- 40 d ^{9} p ^{3}}{- 8 d ^{3} p ^{3}}

Apply the fraction rule:

\frac{- a}{- b} = \frac{a}{b}

= \frac{40 d ^{9} p ^{3}}{8 d ^{3} p ^{3}}

Cancel the common factor:

p^{3}

= \frac{40 d ^{9}}{8 d ^{3}}

Factor the number:

40 = 8 \cdot 5

= \frac{8 \cdot 5 d ^{9}}{8 d ^{3}}

Cancel the common factor:

8

= \frac{5 d ^{9}}{d ^{3}}

Simplify

\frac{d ^{9}}{d ^{3}} : d^{6}

= 5 d^{6}

(- 1)^{2 n}

(2 x + 8) (2 x - 8)

\frac{0}{2}

4 (- p - 6)

64 x^{16}

What is (20d^9(-2)p^3)/(4d^3(-2)p^3) ?
The solution to (20d^9(-2)p^3)/(4d^3(-2)p^3) is 5d^6