What is (3x^2yz^4)/(6xyz^2)*(2x^2y^4)/(6xy^3) ?

The solution to (3x^2yz^4)/(6xyz^2)*(2x^2y^4)/(6xy^3) is (x^2z^2y)/6

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simplify (3x^2yz^4)/(6xyz^2)*(2x^2y^4)/(6xy^3)

simplify

\frac{3 x ^{2} y z ^{4}}{6 x y z ^{2}} \cdot \frac{2 x ^{2} y ^{4}}{6 x y ^{3}}

\frac{x ^{2} z ^{2} y}{6}

Solution steps

\frac{3 x ^{2} y z ^{4}}{6 x y z ^{2}} \cdot \frac{2 x ^{2} y ^{4}}{6 x y ^{3}}

Cancel

\frac{3 x ^{2} y z ^{4}}{6 x y z ^{2}} : \frac{x z ^{2}}{2}

= \frac{x z ^{2}}{2} \cdot \frac{2 x ^{2} y ^{4}}{6 x y ^{3}}

Cancel

\frac{2 x ^{2} y ^{4}}{6 x y ^{3}} : \frac{x y}{3}

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

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

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

Apply exponent rule:

aa = a^{2}

xx = x^{2}

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

Multiply the numbers:

2 \cdot 3 = 6

= \frac{x ^{2} z ^{2} y}{6}

- 0.5 \cdot (- 0.5)

8 a^{2} b + 2 ab - 3 a^{2} b + ba

(\frac{21}{50} 4) \cdot (14 ∣ 3) - 2

- 5^{2} + 3^{2}

- \frac{1}{x} + 1

What is (3x^2yz^4)/(6xyz^2)*(2x^2y^4)/(6xy^3) ?
The solution to (3x^2yz^4)/(6xyz^2)*(2x^2y^4)/(6xy^3) is (x^2z^2y)/6