en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(x^{4a+16)}

Solution

simplify

x^{4 a + 16}

Solution

x^{2 (a + 4)}

Solution steps

x^{4 a + 16}

Apply radical rule:

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

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

Apply exponent rule:

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

assuming

a \geq 0

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

Simplify

(4 a + 16) \frac{1}{2} : 2 (a + 4)

= x^{2 (a + 4)}

Popular Examples

simplify 3.21x10^{-4}simplify

3.21 x 1 0^{- 4}

simplify-e^2*e^2 simplify

- e^{2} \cdot e^{2}

simplify e^{t^2}*e^{t^2}simplify

e^{t^{2}} \cdot e^{t^{2}}

simplify 3.3*10^{-5}*12000 simplify

3.3 \cdot 1 0^{- 5} \cdot 12000

simplify (sqrt(2))/(sqrt(5y))simplify

\frac{2}{5 y}

Frequently Asked Questions (FAQ)

What is sqrt(x^{4a+16)} ?
The solution to sqrt(x^{4a+16)} is x^{2(a+4)}