What is (5x^7y^8z^{10})/(10x^{10)y^9z^5} ?

The solution to (5x^7y^8z^{10})/(10x^{10)y^9z^5} is (z^5)/(2x^3y)

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simplify (5x^7y^8z^{10})/(10x^{10)y^9z^5}

simplify

\frac{5 x ^{7} y ^{8} z ^{10}}{10 x ^{10} y ^{9} z ^{5}}

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

Solution steps

\frac{5 x ^{7} y ^{8} z ^{10}}{10 x ^{10} y ^{9} z ^{5}}

Factor the number:

10 = 5 \cdot 2

= \frac{5 x ^{7} y ^{8} z ^{10}}{5 \cdot 2 x ^{10} y ^{9} z ^{5}}

Cancel the common factor:

5

= \frac{x ^{7} y ^{8} z ^{10}}{2 x ^{10} y ^{9} z ^{5}}

Simplify

\frac{z ^{10}}{z ^{5}} : z^{5}

= \frac{x ^{7} y ^{8} z ^{5}}{2 x ^{10} y ^{9}}

Simplify

\frac{x ^{7}}{x ^{10}} : \frac{1}{x ^{3}}

= \frac{y ^{8} z ^{5}}{2 x ^{3} y ^{9}}

Simplify

\frac{y ^{8}}{y ^{9}} : \frac{1}{y}

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

x^{2} + 17 = 8 x

(3 x - 1)^{2} = 5

x^{3} - 3 x^{2} + 2 x

5 x^{2} + x = 0

y = y^{2} - 2

What is (5x^7y^8z^{10})/(10x^{10)y^9z^5} ?
The solution to (5x^7y^8z^{10})/(10x^{10)y^9z^5} is (z^5)/(2x^3y)