What is ((3xy^2)/(4wz))((6x^3)/(5w^2y)) ?

The solution to ((3xy^2)/(4wz))((6x^3)/(5w^2y)) is (9x^4y)/(10w^3z)

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simplify ((3xy^2)/(4wz))((6x^3)/(5w^2y))

simplify

(\frac{3 x y ^{2}}{4 w z}) (\frac{6 x ^{3}}{5 w ^{2} y})

\frac{9 x ^{4} y}{10 w ^{3} z}

Solution steps

(\frac{3 x y ^{2}}{4 w z}) (\frac{6 x ^{3}}{5 w ^{2} y})

Simplify

(\frac{3 x y ^{2}}{4 w z}) (\frac{6 x ^{3}}{5 w ^{2} y}) : \frac{3 x y ^{2}}{4 w z} \cdot \frac{6 x ^{3}}{5 w ^{2} y}

= \frac{3 x y ^{2}}{4 w z} \cdot \frac{6 x ^{3}}{5 w ^{2} y}

Apply the fraction rule:

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

= \frac{3 x y ^{2} \cdot 6 x ^{3}}{4 w z \cdot 5 w ^{2} y}

Factor the number:

6 = 2 \cdot 3

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

Factor the number:

4 = 2 \cdot 2

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

Cancel the common factor:

2

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

Simplify

\frac{y ^{2}}{y} : y

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

Simplify

3 x y \cdot 3 x^{3} : 9 x^{4} y

= \frac{9 x ^{4} y}{2 w z \cdot 5 w ^{2}}

Simplify

2 w z \cdot 5 w^{2} : 10 w^{3} z

= \frac{9 x ^{4} y}{10 w ^{3} z}

- 84 = s (s + 19)

\frac{a}{3 b}

x^{2} - 8 x + 3 = 0

∣ x + 5 ∣ < 9

\frac{π}{4} - π

What is ((3xy^2)/(4wz))((6x^3)/(5w^2y)) ?
The solution to ((3xy^2)/(4wz))((6x^3)/(5w^2y)) is (9x^4y)/(10w^3z)