What is (-7x^5y^5z^4)/(21x^7y^5z^2) ?

The solution to (-7x^5y^5z^4)/(21x^7y^5z^2) is -(z^2)/(3x^2)

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simplify (-7x^5y^5z^4)/(21x^7y^5z^2)

simplify

\frac{- 7 x ^{5} y ^{5} z ^{4}}{21 x ^{7} y ^{5} z ^{2}}

- \frac{z ^{2}}{3 x ^{2}}

Solution steps

\frac{- 7 x ^{5} y ^{5} z ^{4}}{21 x ^{7} y ^{5} z ^{2}}

Cancel the common factor:

y^{5}

= \frac{- 7 x ^{5} z ^{4}}{21 x ^{7} z ^{2}}

Factor the number:

21 = 7 \cdot 3

= \frac{- 7 x ^{5} z ^{4}}{7 \cdot 3 x ^{7} z ^{2}}

Cancel the common factor:

7

= \frac{- x ^{5} z ^{4}}{3 x ^{7} z ^{2}}

Simplify

\frac{z ^{4}}{z ^{2}} : z^{2}

= \frac{- x ^{5} z ^{2}}{3 x ^{7}}

Simplify

\frac{x ^{5}}{x ^{7}} : \frac{1}{x ^{2}}

= \frac{- z ^{2}}{3 x ^{2}}

Apply the fraction rule:

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

= - \frac{z ^{2}}{3 x ^{2}}

- 475

x^{3} + 2^{3}

\frac{3}{2} - \frac{1}{6}

\frac{9}{8} - 1

- 1 - (- 9)

What is (-7x^5y^5z^4)/(21x^7y^5z^2) ?
The solution to (-7x^5y^5z^4)/(21x^7y^5z^2) is -(z^2)/(3x^2)