en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2x^4)^3

Solution

simplify

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

Solution

8 x^{12}

Solution steps

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

Apply exponent rule:

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

(2 x^{4})^{3} = 2^{3} (x^{4})^{3}

= 2^{3} (x^{4})^{3}

2^{3} = 8

= 8 (x^{4})^{3}

Apply exponent rule:

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

assuming

a \geq 0

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

= 8 x^{4 \cdot 3}

Multiply the numbers:

4 \cdot 3 = 12

= 8 x^{12}

Popular Examples

simplify-1+5/3 simplify

- 1 + \frac{5}{3}

300=113.31t+1.775t^2

300 = 113.31 t + 1.775 t^{2}

simplify (5/4)(1/2)(-3/2)(-3)simplify

(\frac{5}{4}) (\frac{1}{2}) (- \frac{3}{2}) (- 3)

factor 15x^2-x-28 factor

15 x^{2} - x - 28

simplify ((7^{-3})/(10))^{-2}simplify

(\frac{7 ^{- 3}}{10})^{- 2}

Frequently Asked Questions (FAQ)

What is (2x^4)^3 ?
The solution to (2x^4)^3 is 8x^{12}