What is 1/4 xy(4xy)^3 ?

The solution to 1/4 xy(4xy)^3 is 16x^4y^4

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simplify 1/4 xy(4xy)^3

simplify

\frac{1}{4} x y (4 x y)^{3}

16 x^{4} y^{4}

Solution steps

\frac{1}{4} x y (4 x y)^{3}

Simplify

(4 x y)^{3} : 64 x^{3} y^{3}

= \frac{1}{4} x y \cdot 64 x^{3} y^{3}

Simplify

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

= \frac{1}{4} x^{4} y \cdot 64 y^{3}

Simplify

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

= \frac{1}{4} x^{4} y^{4} \cdot 64

= \frac{1}{4} \cdot 64 x^{4} y^{4}

Apply the fraction rule:

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

= \frac{1 \cdot 64 x ^{4} y ^{4}}{4}

Multiply the numbers:

1 \cdot 64 = 64

= \frac{64 x ^{4} y ^{4}}{4}

Divide the numbers:

\frac{64}{4} = 16

= 16 x^{4} y^{4}

\frac{2}{4 ^{- 2}}

\frac{1}{sin ( x ) tan ( x )}

k^{3} - 8

5 - ∣ - 4 + 1 ∣

\frac{- 40}{- 5}