What is (36x^4*y^3*z^2)/(9*x^2*y^3*z^4) ?

The solution to (36x^4*y^3*z^2)/(9*x^2*y^3*z^4) is (4x^2)/(z^2)

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simplify (36x^4y^3z^2)/(9x^2y^3*z^4)

simplify

\frac{36 x ^{4} \cdot y ^{3} \cdot z ^{2}}{9 \cdot x ^{2} \cdot y ^{3} \cdot z ^{4}}

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

Solution steps

\frac{36 x ^{4} y ^{3} z ^{2}}{9 x ^{2} y ^{3} z ^{4}}

Cancel the common factor:

y^{3}

= \frac{36 x ^{4} z ^{2}}{9 x ^{2} z ^{4}}

Factor the number:

36 = 9 \cdot 4

= \frac{9 \cdot 4 x ^{4} z ^{2}}{9 x ^{2} z ^{4}}

Cancel the common factor:

9

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

Simplify

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

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

Simplify

\frac{z ^{2}}{z ^{4}} : \frac{1}{z ^{2}}

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

- 3 a^{3} + a^{2} - 6 + 4 a^{3}

\frac{( 3 a ^{3} b ^{2} ) ^{3}}{( a ^{2} b ) ^{2}}

(sin (x) + cos (x))^{2} - 1

(a^{3} a^{2})^{4}

\frac{2}{( x + 3 )} + \frac{3}{( x ( x + 3 ) )}

What is (36x^4*y^3*z^2)/(9*x^2*y^3*z^4) ?
The solution to (36x^4*y^3*z^2)/(9*x^2*y^3*z^4) is (4x^2)/(z^2)