What is 1/5 xy(5xy)^3 ?

The solution to 1/5 xy(5xy)^3 is 25x^4y^4

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simplify 1/5 xy(5xy)^3

simplify

\frac{1}{5} x y (5 x y)^{3}

25 x^{4} y^{4}

Solution steps

\frac{1}{5} x y (5 x y)^{3}

Simplify

(5 x y)^{3} : 125 x^{3} y^{3}

= \frac{1}{5} x y \cdot 125 x^{3} y^{3}

Simplify

x x^{3} : x^{4}

= \frac{1}{5} x^{4} y \cdot 125 y^{3}

Simplify

y y^{3} : y^{4}

= \frac{1}{5} x^{4} y^{4} \cdot 125

= \frac{1}{5} \cdot 125 x^{4} y^{4}

Apply the fraction rule:

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

= \frac{1 \cdot 125 x ^{4} y ^{4}}{5}

Multiply the numbers:

1 \cdot 125 = 125

= \frac{125 x ^{4} y ^{4}}{5}

Divide the numbers:

\frac{125}{5} = 25

= 25 x^{4} y^{4}

75 - 48

9 (x + 10)

51 x^{4} y^{2} - 119 x^{2} y^{4}

25 \cdot 340

9 \frac{2}{5}