en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (sqrt(2x^2))^4

Solution

simplify

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

Solution

4 x^{4}

Solution steps

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

Rewrite

4

as

2 \cdot 2

= (2 x^{2})^{2 \cdot 2}

Apply exponent rule:

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

assuming

a \geq 0

(2 x^{2})^{2 \cdot 2} = ((2 x^{2})^{2})^{2}

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

Apply exponent rule:

assuming

n i s o dd or a \geq 0

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

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

Apply exponent rule:

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

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

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

2^{2} = 4

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

Apply exponent rule:

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

assuming

a \geq 0

(x^{2})^{2} = x^{2 \cdot 2}

= 4 x^{2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= 4 x^{4}

Popular Examples

simplify \sqrt[3]{y}^2 simplify

simplify 7^{-2= 1/49}simplify

7^{- 2 = \frac{1}{49}}

simplify (a+b)^2*(a-b)^2 simplify

(a + b)^{2} \cdot (a - b)^{2}

simplify \sqrt[3]{2^5}*sqrt(2)simplify

simplify 4pix10^{-7}simplify

4 π x 1 0^{- 7}

Frequently Asked Questions (FAQ)

What is (sqrt(2x^2))^4 ?
The solution to (sqrt(2x^2))^4 is 4x^4