en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (16x^4)^{1/2}

Solution

simplify

(16 x^{4})^{\frac{1}{2}}

Solution

4 x^{2}

Solution steps

(16 x^{4})^{\frac{1}{2}}

Apply exponent rule:

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

(16 x^{4})^{\frac{1}{2}} = 1 6^{\frac{1}{2}} (x^{4})^{\frac{1}{2}}

= 1 6^{\frac{1}{2}} (x^{4})^{\frac{1}{2}}

1 6^{\frac{1}{2}} = 4

= 4 (x^{4})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

(x^{4})^{\frac{1}{2}} = x^{4 \cdot \frac{1}{2}}

= 4 x^{4 \cdot \frac{1}{2}}

4 \cdot \frac{1}{2} = 2

= 4 x^{2}

Popular Examples

expand (3t+1)^2 expand

(3 t + 1)^{2}

simplify 2/(3sqrt(x))simplify

\frac{2}{3 x}

simplify 1/(10sqrt(2))simplify

\frac{1}{10 2}

simplify 1/(x^2)+x^2 simplify

\frac{1}{x ^{2}} + x^{2}

simplify 5/(\frac{5){x-1}+2}simplify

\frac{5}{\frac{5}{x - 1} + 2}

Frequently Asked Questions (FAQ)

What is (16x^4)^{1/2} ?
The solution to (16x^4)^{1/2} is 4x^2