What is (10q^5w^7)/(2w^3)*(4(q^6)^2)/(w^{-5)} ?

The solution to (10q^5w^7)/(2w^3)*(4(q^6)^2)/(w^{-5)} is 20q^{17}w^9

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simplify (10q^5w^7)/(2w^3)*(4(q^6)^2)/(w^{-5)}

simplify

\frac{10 q ^{5} w ^{7}}{2 w ^{3}} \cdot \frac{4 ( q ^{6} ) ^{2}}{w ^{- 5}}

20 q^{17} w^{9}

Solution steps

\frac{10 q ^{5} w ^{7}}{2 w ^{3}} \cdot \frac{4 ( q ^{6} ) ^{2}}{w ^{- 5}}

Cancel

\frac{10 q ^{5} w ^{7}}{2 w ^{3}} : 5 q^{5} w^{4}

= 5 q^{5} w^{4} \frac{4 ( q ^{6} ) ^{2}}{w ^{- 5}}

Simplify

\frac{4 ( q ^{6} ) ^{2}}{w ^{- 5}} : 4 q^{12} w^{5}

= 5 q^{5} w^{4} \cdot 4 q^{12} w^{5}

Multiply the numbers:

5 \cdot 4 = 20

= 20 q^{5} w^{4} q^{12} w^{5}

Simplify

q^{5} q^{12} : q^{17}

= 20 q^{17} w^{4} w^{5}

Simplify

w^{4} w^{5} : w^{9}

= 20 q^{17} w^{9}

(x^{2} - 4) = 0

(8)^{2}

\frac{x - 4}{x ^{2} - 49} < 0

(x + 5) (x - 5) = - 9

6 b^{2} - 12 b - 90 = 0

What is (10q^5w^7)/(2w^3)*(4(q^6)^2)/(w^{-5)} ?
The solution to (10q^5w^7)/(2w^3)*(4(q^6)^2)/(w^{-5)} is 20q^{17}w^9