en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-2x^2y^7)^5

Solution

simplify

(- 2 x^{2} y^{7})^{5}

Solution

- 32 x^{10} y^{35}

Solution steps

(- 2 x^{2} y^{7})^{5}

Apply exponent rule:

(- a)^{n} = - a^{n},

if

n

is odd

(- 2 x^{2} y^{7})^{5} = - (2 x^{2} y^{7})^{5}

= - (2 x^{2} y^{7})^{5}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(2 x^{2} y^{7})^{5} = 2^{5} (x^{2})^{5} (y^{7})^{5}

= - 2^{5} (x^{2})^{5} (y^{7})^{5}

2^{5} = 32

= - 32 (x^{2})^{5} (y^{7})^{5}

Simplify

(x^{2})^{5} : x^{10}

= - 32 x^{10} (y^{7})^{5}

Simplify

(y^{7})^{5} : y^{35}

= - 32 x^{10} y^{35}

Popular Examples

simplify (sqrt(3)+1)/(1-sqrt(3)*1)simplify

\frac{3 + 1}{1 - 3 \cdot 1}

\frac{8}{15} \div \frac{4}{5}

simplify 3/4 \times 6/7 simplify

\frac{3}{4} \times \frac{6}{7}

simplify (15ab)/(3ab)+5/(3ab)simplify

\frac{15 ab}{3 ab} + \frac{5}{3 ab}

simplify (\sqrt[4]{b^3})/(\sqrt[5]{b^2)}simplify

Frequently Asked Questions (FAQ)

What is (-2x^2y^7)^5 ?
The solution to (-2x^2y^7)^5 is -32x^{10}y^{35}