en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-4x^4y)^5

Solution

simplify

(- 4 x^{4} y)^{5}

Solution

- 1024 x^{20} y^{5}

Solution steps

(- 4 x^{4} y)^{5}

Apply exponent rule:

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

if

n

is odd

(- 4 x^{4} y)^{5} = - (4 x^{4} y)^{5}

= - (4 x^{4} y)^{5}

Apply exponent rule:

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

(4 x^{4} y)^{5} = 4^{5} (x^{4})^{5} y^{5}

= - 4^{5} (x^{4})^{5} y^{5}

4^{5} = 1024

= - 1024 (x^{4})^{5} y^{5}

Simplify

(x^{4})^{5} : x^{20}

= - 1024 x^{20} y^{5}

Popular Examples

simplify (1/4)^4 simplify

(\frac{1}{4})^{4}

10000v^2+11877=21800v

10000 v^{2} + 11877 = 21800 v

factor 4x^2+20x-24 factor

4 x^{2} + 20 x - 24

factor 3x^2+15x-42 factor

3 x^{2} + 15 x - 42

∣ 4 - 4 x ∣ < - 13

Frequently Asked Questions (FAQ)

What is (-4x^4y)^5 ?
The solution to (-4x^4y)^5 is -1024x^{20}y^5