What is ((-2)^3x^4(yz)^2)/(3^2xy^3z) ?

The solution to ((-2)^3x^4(yz)^2)/(3^2xy^3z) is -(8x^3z)/(9y)

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simplify ((-2)^3x^4(yz)^2)/(3^2xy^3z)

simplify

\frac{( - 2 ) ^{3} x ^{4} ( yz ) ^{2}}{3 ^{2} x y ^{3} z}

- \frac{8 x ^{3} z}{9 y}

Solution steps

\frac{( - 2 ) ^{3} x ^{4} ( yz ) ^{2}}{3 ^{2} x y ^{3} z}

Simplify

\frac{x ^{4}}{x} : x^{3}

= \frac{( - 2 ) ^{3} x ^{3} ( yz ) ^{2}}{3 ^{2} y ^{3} z}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(yz)^{2} = y^{2} z^{2}

= \frac{( - 2 ) ^{3} x ^{3} y ^{2} z ^{2}}{3 ^{2} y ^{3} z}

Simplify

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

= \frac{( - 2 ) ^{3} x ^{3} z ^{2}}{3 ^{2} yz}

Simplify

\frac{z ^{2}}{z} : z

= \frac{( - 2 ) ^{3} x ^{3} z}{3 ^{2} y}

Simplify

\frac{( - 2 ) ^{3} x ^{3} z}{3 ^{2} y} : - \frac{8 x ^{3} z}{9 y}

= - \frac{8 x ^{3} z}{9 y}

- 9 = - 6 m + 3

(2 x + 5)^{2} = 9

2 y^{2} + 11 y + 5

\frac{4 - ( 1 + i ) ^{2}}{2 ( 1 + i )}

7 = \frac{y}{17.5}

What is ((-2)^3x^4(yz)^2)/(3^2xy^3z) ?
The solution to ((-2)^3x^4(yz)^2)/(3^2xy^3z) is -(8x^3z)/(9y)