What is (9z^3)/(16xy)*(4x)/(27z^3) ?

The solution to (9z^3)/(16xy)*(4x)/(27z^3) is 1/(12y)

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simplify (9z^3)/(16xy)*(4x)/(27z^3)

simplify

\frac{9 z ^{3}}{16 x y} \cdot \frac{4 x}{27 z ^{3}}

\frac{1}{12 y}

Solution steps

\frac{9 z ^{3}}{16 x y} \cdot \frac{4 x}{27 z ^{3}}

Apply the fraction rule:

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

= \frac{9 z ^{3} \cdot 4 x}{16 x y \cdot 27 z ^{3}}

Cancel the common factor:

z^{3}

= \frac{9 \cdot 4 x}{16 x y \cdot 27}

Cancel the common factor:

x

= \frac{9 \cdot 4}{16 y \cdot 27}

Factor the number:

27 = 9 \cdot 3

= \frac{9 \cdot 4}{16 y \cdot 9 \cdot 3}

Cancel the common factor:

9

= \frac{4}{16 y \cdot 3}

Cancel the numbers:

\frac{4}{16} = \frac{1}{4}

= \frac{1}{4 y \cdot 3}

Multiply the numbers:

4 \cdot 3 = 12

= \frac{1}{12 y}

3 \frac{x}{2} + 1 + \frac{3}{2} = 4

\frac{2 ( 4 - 1 ) ^{3}}{12 ( 10 ) ^{2}}

17 < - 3 x

100 (\frac{1}{5})^{- \frac{3}{9}}

3 x^{2} = 6 x - 3

What is (9z^3)/(16xy)*(4x)/(27z^3) ?
The solution to (9z^3)/(16xy)*(4x)/(27z^3) is 1/(12y)