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)^5

Solution

simplify

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

Solution

- 1024 x^{20} y^{25}

Solution steps

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

Apply exponent rule:

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

if

n

is odd

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

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

Apply exponent rule:

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

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

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

4^{5} = 1024

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

Simplify

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

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

Simplify

(y^{5})^{5} : y^{25}

= - 1024 x^{20} y^{25}

Popular Examples

simplify (13)/(2-3i)simplify

\frac{13}{2 - 3 i}

simplify (8^{15})/(8^{13)}simplify

\frac{8 ^{15}}{8 ^{13}}

simplify (yx^{-3})^3*y^4x^2 simplify

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

simplify (3-i)(2+4i)simplify

(3 - i) (2 + 4 i)

factor-12m^3+38m^2-30m factor

- 12 m^{3} + 38 m^{2} - 30 m

Frequently Asked Questions (FAQ)

What is (-4x^4y^5)^5 ?
The solution to (-4x^4y^5)^5 is -1024x^{20}y^{25}