en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-4x^3)^4

Solution

simplify

(- 4 x^{3})^{4}

Solution

256 x^{12}

Solution steps

(- 4 x^{3})^{4}

Apply exponent rule:

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

if

n

is even

(- 4 x^{3})^{4} = (4 x^{3})^{4}

= (4 x^{3})^{4}

Apply exponent rule:

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

(4 x^{3})^{4} = 4^{4} (x^{3})^{4}

= 4^{4} (x^{3})^{4}

4^{4} = 256

= 256 (x^{3})^{4}

Apply exponent rule:

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

assuming

a \geq 0

(x^{3})^{4} = x^{3 \cdot 4}

= 256 x^{3 \cdot 4}

Multiply the numbers:

3 \cdot 4 = 12

= 256 x^{12}

Popular Examples

3 \leq 4 x - 3 < 19

factor 4x^3+7x^2+8x+14 factor

4 x^{3} + 7 x^{2} + 8 x + 14

x^{2} - 2 x - 3 < 0

10 - r \leq - 25 - 6 r

factor 5u^3+3u^2+25u+15 factor

5 u^{3} + 3 u^{2} + 25 u + 15

Frequently Asked Questions (FAQ)

What is (-4x^3)^4 ?
The solution to (-4x^3)^4 is 256x^{12}