What is (5x^3y^{-3})(-6x^4y) ?

The solution to (5x^3y^{-3})(-6x^4y) is -(30x^7)/(y^2)

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simplify (5x^3y^{-3})(-6x^4y)

simplify

(5 x^{3} y^{- 3}) (- 6 x^{4} y)

- \frac{30 x ^{7}}{y ^{2}}

Solution steps

(5 x^{3} y^{- 3}) (- 6 x^{4} y)

Apply rule:

a (- b) = - ab

(5 x^{3} y^{- 3}) (- 6 x^{4} y) = - 5 x^{3} y^{- 3} \cdot 6 x^{4} y

= - 5 x^{3} y^{- 3} \cdot 6 x^{4} y

Multiply the numbers:

- 5 \cdot 6 = - 30

= - 30 x^{3} y^{- 3} x^{4} y

Simplify

x^{3} x^{4} : x^{7}

= - 30 x^{7} y^{- 3} y

Simplify

y^{- 3} y : \frac{1}{y ^{2}}

= - 30 x^{7} \frac{1}{y ^{2}}

Simplify

- 30 x^{7} \frac{1}{y ^{2}} : - \frac{30 x ^{7}}{y ^{2}}

= - \frac{30 x ^{7}}{y ^{2}}

- n - 5 (- 6 - 7 n)

i^{2} (3 - i) (6 - 7 i)

(1 + 2 v) \cdot 5

\frac{w x y + w x z}{w y + w z + x y + x z}

(3 + j^{3}) (1 - j)

What is (5x^3y^{-3})(-6x^4y) ?
The solution to (5x^3y^{-3})(-6x^4y) is -(30x^7)/(y^2)