What is (-2x^3)^2*(-1/4 x^4) ?

The solution to (-2x^3)^2*(-1/4 x^4) is -x^{10}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-2x^3)^2*(-1/4 x^4)

simplify

(- 2 x^{3})^{2} \cdot (- \frac{1}{4} x^{4})

- x^{10}

Solution steps

(- 2 x^{3})^{2} (- \frac{1}{4} x^{4})

Apply rule:

a (- b) = - ab

(- 2 x^{3})^{2} (- \frac{1}{4} x^{4}) = - (- 2 x^{3})^{2} \frac{1}{4} x^{4}

= - (- 2 x^{3})^{2} \frac{1}{4} x^{4}

= - \frac{1}{4} (- 2 x^{3})^{2} x^{4}

Simplify

(- 2 x^{3})^{2} : 4 x^{6}

= - \frac{1}{4} \cdot 4 x^{6} x^{4}

Simplify

x^{6} x^{4} : x^{10}

= - \frac{1}{4} \cdot 4 x^{10}

Cross-cancel common factor:

4

= - x^{10}

\frac{6 x ^{3}}{3 x} \cdot 8 x^{2}

20 x^{2} + 44 x - 15

(8 - x) (8 + x)

2 (- 17)^{2}

\frac{1}{x ^{5}}