What is (6c^9(-3)^6d^8)/(2c^3(-3)^3d^2) ?

The solution to (6c^9(-3)^6d^8)/(2c^3(-3)^3d^2) is -81c^6d^6

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simplify (6c^9(-3)^6d^8)/(2c^3(-3)^3d^2)

simplify

\frac{6 c ^{9} ( - 3 ) ^{6} d ^{8}}{2 c ^{3} ( - 3 ) ^{3} d ^{2}}

- 81 c^{6} d^{6}

Solution steps

\frac{6 c ^{9} ( - 3 ) ^{6} d ^{8}}{2 c ^{3} ( - 3 ) ^{3} d ^{2}}

\frac{( - 3 ) ^{6}}{( - 3 ) ^{3}} = (- 3)^{3}

= \frac{6 c ^{9} ( - 3 ) ^{3} d ^{8}}{2 c ^{3} d ^{2}}

Factor the number:

6 = 2 \cdot 3

= \frac{2 \cdot 3 c ^{9} ( - 3 ) ^{3} d ^{8}}{2 c ^{3} d ^{2}}

Cancel the common factor:

2

= \frac{3 c ^{9} ( - 3 ) ^{3} d ^{8}}{c ^{3} d ^{2}}

Simplify

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

= \frac{3 c ^{6} ( - 3 ) ^{3} d ^{8}}{d ^{2}}

Simplify

\frac{d ^{8}}{d ^{2}} : d^{6}

= 3 c^{6} (- 3)^{3} d^{6}

Simplify

3 c^{6} (- 3)^{3} d^{6} : - 81 c^{6} d^{6}

= - 81 c^{6} d^{6}

\frac{3}{3 3}

f (x, y) = (x^{2} - 9 y^{2})^{- 2}

(a + 5)^{3}

16 x^{4} y^{2} - 4 z^{16}

(- 100) (36)

What is (6c^9(-3)^6d^8)/(2c^3(-3)^3d^2) ?
The solution to (6c^9(-3)^6d^8)/(2c^3(-3)^3d^2) is -81c^6d^6