What is 1/6 xy(6xy)^3 ?

The solution to 1/6 xy(6xy)^3 is 36x^4y^4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/6 xy(6xy)^3

simplify

\frac{1}{6} x y (6 x y)^{3}

36 x^{4} y^{4}

Solution steps

\frac{1}{6} x y (6 x y)^{3}

Simplify

(6 x y)^{3} : 216 x^{3} y^{3}

= \frac{1}{6} x y \cdot 216 x^{3} y^{3}

Simplify

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

= \frac{1}{6} x^{4} y \cdot 216 y^{3}

Simplify

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

= \frac{1}{6} x^{4} y^{4} \cdot 216

= \frac{1}{6} \cdot 216 x^{4} y^{4}

Apply the fraction rule:

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

= \frac{1 \cdot 216 x ^{4} y ^{4}}{6}

Multiply the numbers:

1 \cdot 216 = 216

= \frac{216 x ^{4} y ^{4}}{6}

Divide the numbers:

\frac{216}{6} = 36

= 36 x^{4} y^{4}

12 \cdot (- 6)

12 \cdot (- 9)

(4 x + 8) (4 x - 8)

5 (9)

5 - 18