What is (8x)/(21y^3)*(7y^2)/(16x^3) ?

The solution to (8x)/(21y^3)*(7y^2)/(16x^3) is 1/(6x^2y)

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simplify (8x)/(21y^3)*(7y^2)/(16x^3)

simplify

\frac{8 x}{21 y ^{3}} \cdot \frac{7 y ^{2}}{16 x ^{3}}

\frac{1}{6 x ^{2} y}

Solution steps

\frac{8 x}{21 y ^{3}} \cdot \frac{7 y ^{2}}{16 x ^{3}}

Apply the fraction rule:

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

= \frac{8 x \cdot 7 y ^{2}}{21 y ^{3} \cdot 16 x ^{3}}

Factor the number:

16 = 8 \cdot 2

= \frac{8 x \cdot 7 y ^{2}}{21 y ^{3} \cdot 8 \cdot 2 x ^{3}}

Cancel the common factor:

8

= \frac{x \cdot 7 y ^{2}}{21 y ^{3} \cdot 2 x ^{3}}

Factor the number:

21 = 7 \cdot 3

= \frac{x \cdot 7 y ^{2}}{7 \cdot 3 y ^{3} \cdot 2 x ^{3}}

Cancel the common factor:

7

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

Simplify

\frac{x}{x ^{3}} : \frac{1}{x ^{2}}

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

Simplify

\frac{y ^{2}}{y ^{3}} : \frac{1}{y}

= \frac{1}{3 y \cdot 2 x ^{2}}

Multiply the numbers:

3 \cdot 2 = 6

= \frac{1}{6 y x ^{2}}

= \frac{1}{6 x ^{2} y}

π \cdot \frac{1}{4}

10 x - 18 y

\frac{1}{16} x^{2} - \frac{3}{2} x + 9

- 6 x + 3 \geq 21

3 a^{2} + 9 a - 54

What is (8x)/(21y^3)*(7y^2)/(16x^3) ?
The solution to (8x)/(21y^3)*(7y^2)/(16x^3) is 1/(6x^2y)