en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

Solution

x^{\frac{2}{3}}

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

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

Apply exponent rule:

(- a)^{\frac{m}{n}} = (- 1)^{\frac{m}{n}} (a)^{\frac{m}{n}}

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

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

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

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

Multiply:

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

= x^{\frac{2}{3}}

Popular Examples

simplify e(e^{-x})simplify

e (e^{- x})

simplify 4.36*10^{-5}simplify

4.36 \cdot 1 0^{- 5}

simplify (13600)(9.81)(45*10^{-3})simplify

(13600) (9.81) (45 \cdot 1 0^{- 3})

simplify 2*(0.125*10^{-7})simplify

2 \cdot (0.125 \cdot 1 0^{- 7})

simplify (29P^5)(24P^5)simplify

(29 P^{5}) (24 P^{5})

Frequently Asked Questions (FAQ)

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