en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify \sqrt[3]{(1+3x)^2}

Solution

simplify

Solution

(3 x + 1)^{\frac{2}{3}}

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

assuming

a \geq 0

= (1 + 3 x)^{2 \cdot \frac{1}{3}}

2 \cdot \frac{1}{3} = \frac{2}{3}

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

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

Popular Examples

simplify 4.4545*2^{-5}simplify

4.4545 \cdot 2^{- 5}

simplify 961^{-493}simplify

96 1^{- 493}

simplify 2e^{-0.3t}cos(2t)simplify

2 e^{- 0.3 t} cos (2 t)

simplify 3e^x*2e^{2x}simplify

3 e^{x} \cdot 2 e^{2 x}

simplify 6.6*10^{-4}*0.04 simplify

6.6 \cdot 1 0^{- 4} \cdot 0.04

Frequently Asked Questions (FAQ)

What is \sqrt[3]{(1+3x)^2} ?
The solution to \sqrt[3]{(1+3x)^2} is (3x+1)^{2/3}