en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify \sqrt[4]{x^{4a+b}}

Solution

simplify

Solution

x^{\frac{4 a + b}{4}}

Solution steps

Apply radical rule:

= (x^{4 a + b})^{\frac{1}{4}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{(4 a + b) \frac{1}{4}}

Simplify

(4 a + b) \frac{1}{4} : \frac{4 a + b}{4}

= x^{\frac{4 a + b}{4}}

Popular Examples

simplify 3.14*10^{-2}simplify

3.14 \cdot 1 0^{- 2}

simplify (1.06*10^{-22})(6.02214*10^{23})simplify

(1.06 \cdot 1 0^{- 22}) (6.02214 \cdot 1 0^{23})

simplify 1.225e^{-((0.04)/(288))2000}simplify

1.225 e^{- (\frac{0.04}{288}) 2000}

simplify a^{1/2}b^{1/2}simplify

a^{\frac{1}{2}} b^{\frac{1}{2}}

simplify (\sqrt[4]{3/2})^3 simplify

Frequently Asked Questions (FAQ)

What is \sqrt[4]{x^{4a+b}} ?
The solution to \sqrt[4]{x^{4a+b}} is x^{(4a+b)/4}