What is (-4x^5yz^2)(x^{-5}y^{-3}z) ?

The solution to (-4x^5yz^2)(x^{-5}y^{-3}z) is -(4z^3)/(y^2)

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simplify (-4x^5yz^2)(x^{-5}y^{-3}z)

simplify

(- 4 x^{5} y z^{2}) (x^{- 5} y^{- 3} z)

- \frac{4 z ^{3}}{y ^{2}}

Solution steps

(- 4 x^{5} y z^{2}) (x^{- 5} y^{- 3} z)

Apply rule:

(- a) = - a

(- 4 x^{5} y z^{2}) = - 4 x^{5} y z^{2}

= - 4 x^{5} y z^{2} x^{- 5} y^{- 3} z

Simplify

x^{5} x^{- 5} : 1

= - 4 \cdot 1 \cdot y z^{2} y^{- 3} z

Simplify

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

= - 4 \cdot 1 \cdot \frac{1}{y ^{2}} z^{2} z

Simplify

z^{2} z : z^{3}

= - 4 \cdot 1 \cdot \frac{1}{y ^{2}} z^{3}

Multiply the numbers:

- 4 \cdot 1 = - 4

= - 4 \cdot \frac{1}{y ^{2}} z^{3}

Simplify

- 4 \cdot \frac{1}{y ^{2}} z^{3} : - \frac{4 z ^{3}}{y ^{2}}

= - \frac{4 z ^{3}}{y ^{2}}

\frac{3}{- 6} + \frac{1 2 ^{2}}{8}

3 x + 2 y - [x - (x - y)]

- \frac{3}{16} - \frac{1}{20}

(4 b - 6 c) (4 b - 6 c)

\frac{1}{5 + 3}

What is (-4x^5yz^2)(x^{-5}y^{-3}z) ?
The solution to (-4x^5yz^2)(x^{-5}y^{-3}z) is -(4z^3)/(y^2)