en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(a^n)

Solution

simplify

a^{n}

Solution

a^{\frac{n}{2}}

Solution steps

a^{n}

Apply radical rule:

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

= (a^{n})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

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

Simplify

n \frac{1}{2} : \frac{n}{2}

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

Popular Examples

simplify x*(xe^t)simplify

x \cdot (x e^{t})

simplify sqrt(x+3)*sqrt(x+2)simplify

x + 3 \cdot x + 2

join sqrt(17)*sqrt(θ^2+9)join

17 \cdot θ^{2} + 9

simplify 2a^3*(-2)*2pi simplify

2 a^{3} \cdot (- 2) \cdot 2 π

simplify 300000*1.5*10^{-9}simplify

300000 \cdot 1.5 \cdot 1 0^{- 9}

Frequently Asked Questions (FAQ)

What is sqrt(a^n) ?
The solution to sqrt(a^n) is a^{n/2}