en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-8x^5)^3

Solution

simplify

(- 8 x^{5})^{3}

Solution

- 512 x^{15}

Solution steps

(- 8 x^{5})^{3}

Apply exponent rule:

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

if

n

is odd

(- 8 x^{5})^{3} = - (8 x^{5})^{3}

= - (8 x^{5})^{3}

Apply exponent rule:

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

(8 x^{5})^{3} = 8^{3} (x^{5})^{3}

= - 8^{3} (x^{5})^{3}

8^{3} = 512

= - 512 (x^{5})^{3}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

(x^{5})^{3} = x^{5 \cdot 3}

= - 512 x^{5 \cdot 3}

Multiply the numbers:

5 \cdot 3 = 15

= - 512 x^{15}

Popular Examples

factor-4x+12 factor

- 4 x + 12

simplify-4x-4x simplify

- 4 x - 4 x

simplify (-3y^3z)(x^3+z^3)simplify

(- 3 y^{3} z) (x^{3} + z^{3})

simplify sqrt(9.1)simplify

9.1

simplify sqrt(976)simplify

976

Frequently Asked Questions (FAQ)

What is (-8x^5)^3 ?
The solution to (-8x^5)^3 is -512x^{15}