What is (32x^3y^2z^5)/(-8xyz^2) ?

The solution to (32x^3y^2z^5)/(-8xyz^2) is -4x^2yz^3

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simplify (32x^3y^2z^5)/(-8xyz^2)

simplify

\frac{32 x ^{3} y ^{2} z ^{5}}{- 8 x y z ^{2}}

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

Solution steps

\frac{32 x ^{3} y ^{2} z ^{5}}{- 8 x y z ^{2}}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{32 x ^{3} y ^{2} z ^{5}}{8 x y z ^{2}}

Divide the numbers:

\frac{32}{8} = 4

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

Cancel the common factor:

x

= \frac{4 x ^{2} y ^{2} z ^{5}}{y z ^{2}}

Cancel the common factor:

y

= \frac{4 x ^{2} y z ^{5}}{z ^{2}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

\frac{z ^{5}}{z ^{2}} = z^{5 - 2}

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

Subtract the numbers:

5 - 2 = 3

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

(x - 1)^{2} - 9 = 0

\frac{7}{12} + \frac{5}{6}

x^{4} - 15 x^{2} y^{2} - 16 y^{4}

- 18 = 9 - 3 x

2 - x = 11

What is (32x^3y^2z^5)/(-8xyz^2) ?
The solution to (32x^3y^2z^5)/(-8xyz^2) is -4x^2yz^3