What is (5x^2y)(2x^3y)(-4xz^3)(-2y^4z) ?

The solution to (5x^2y)(2x^3y)(-4xz^3)(-2y^4z) is 80x^6y^6z^4

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simplify (5x^2y)(2x^3y)(-4xz^3)(-2y^4z)

simplify

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

80 x^{6} y^{6} z^{4}

Solution steps

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

Simplify

(- 4 x z^{3}) (- 2 y^{4} z) : 8 x z^{4} y^{4}

= 5 x^{2} y \cdot 2 x^{3} y \cdot 8 x z^{4} y^{4}

Multiply the numbers:

5 \cdot 2 \cdot 8 = 80

= 80 x^{2} y x^{3} y x z^{4} y^{4}

Simplify

x^{2} x^{3} x : x^{6}

= 80 x^{6} yy z^{4} y^{4}

Simplify

yy y^{4} : y^{6}

= 80 x^{6} y^{6} z^{4}

(- x)^{2}

[(- 2)^{3}]^{3}

3 (2)^{2}

\frac{10}{( s + 1 ) ( s + 2 )} e^{- 2 s}

What is (5x^2y)(2x^3y)(-4xz^3)(-2y^4z) ?
The solution to (5x^2y)(2x^3y)(-4xz^3)(-2y^4z) is 80x^6y^6z^4