What is (4x^3y)/(8x^2y^3) ?

The solution to (4x^3y)/(8x^2y^3) is x/(2y^2)

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simplify (4x^3y)/(8x^2y^3)

simplify

\frac{4 x ^{3} y}{8 x ^{2} y ^{3}}

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

Solution steps

\frac{4 x ^{3} y}{8 x ^{2} y ^{3}}

Factor the number:

8 = 4 \cdot 2

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

Cancel the common factor:

4

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

Simplify

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

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

Simplify

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

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

(x^{2} - 2)^{4}

- 32 \div 4

(- 8) (- 9)

2 + 42

\frac{6}{64}