en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(a^{(3x-1))}

Solution

simplify

a^{(3 x - 1)}

Solution

a^{\frac{3 x - 1}{2}}

Solution steps

a^{(3 x - 1)}

Apply radical rule:

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

= (a^{3 x - 1})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= a^{(3 x - 1) \frac{1}{2}}

Simplify

(3 x - 1) \frac{1}{2} : \frac{3 x - 1}{2}

= a^{\frac{3 x - 1}{2}}

Popular Examples

simplify (sqrt(x-1))/(sqrt(-x+4))simplify

\frac{x - 1}{- x + 4}

simplify pi(1.575*10^{-2})*2 simplify

π (1.575 \cdot 1 0^{- 2}) \cdot 2

simplify 7x^2y^2(2x-3y)simplify

7 x^{2} y^{2} (2 x - 3 y)

simplify 3x10^4(1.6x10^{-19})simplify

3 x 1 0^{4} (1.6 x 1 0^{- 19})

simplify 1/(e^{2x)}(e^{-2x})simplify

\frac{1}{e ^{2 x}} (e^{- 2 x})

Frequently Asked Questions (FAQ)

What is sqrt(a^{(3x-1))} ?
The solution to sqrt(a^{(3x-1))} is a^{(3x-1)/2}