What is (-3xy^2)^3*(-2/3 x^2y^3)^4 ?

The solution to (-3xy^2)^3*(-2/3 x^2y^3)^4 is -(16x^{11}y^{18})/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-3xy^2)^3*(-2/3 x^2y^3)^4

simplify

(- 3 x y^{2})^{3} \cdot (- \frac{2}{3} x^{2} y^{3})^{4}

- \frac{16 x ^{11} y ^{18}}{3}

Solution steps

(- 3 x y^{2})^{3} (- \frac{2}{3} x^{2} y^{3})^{4}

Simplify

(- 3 x y^{2})^{3} : - 27 x^{3} y^{6}

= - 27 x^{3} y^{6} (- \frac{2}{3} x^{2} y^{3})^{4}

Simplify

(- \frac{2}{3} x^{2} y^{3})^{4} : \frac{16 x ^{8} y ^{12}}{81}

= - 27 x^{3} y^{6} \frac{16 x ^{8} y ^{12}}{81}

Apply the fraction rule:

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

= - \frac{27 x ^{3} y ^{6} \cdot 16 x ^{8} y ^{12}}{81}

Cancel

- \frac{27 x ^{3} y ^{6} \cdot 16 x ^{8} y ^{12}}{81} : - \frac{x ^{3} y ^{6} \cdot 16 x ^{8} y ^{12}}{3}

= - \frac{x ^{3} y ^{6} \cdot 16 x ^{8} y ^{12}}{3}

Simplify

x^{3} y^{6} \cdot 16 x^{8} y^{12} : x^{11} y^{18} \cdot 16

= - \frac{x ^{11} y ^{18} \cdot 16}{3}

= - \frac{16 x ^{11} y ^{18}}{3}

(1 - lo g_{7} (\frac{1}{7})) (1 + lo g_{7} (\frac{1}{7}))

\frac{2}{\frac{2}{x}}

(9 x^{2} + 7 x - 6) - (3 x^{2} - 8 x + 7)

2 x \cdot 3

3 x \times x

What is (-3xy^2)^3*(-2/3 x^2y^3)^4 ?
The solution to (-3xy^2)^3*(-2/3 x^2y^3)^4 is -(16x^{11}y^{18})/3