en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (sqrt(x^3))^{2/3}

Solution

simplify

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

Solution

x

Solution steps

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

Simplify

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

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

= x^{1}

Apply exponent rule:

a^{1} = a

= x

Popular Examples

simplify (14)/((x^2-4))-((6-x))/((x+2))simplify

\frac{14}{( x ^{2} - 4 )} - \frac{( 6 - x )}{( x + 2 )}

simplify (2x)^2(x-x^2)-4x(-x^3+x^2-5)simplify

(2 x)^{2} (x - x^{2}) - 4 x (- x^{3} + x^{2} - 5)

simplify x^2+1/7 x+1/7 simplify

x^{2} + \frac{1}{7} x + \frac{1}{7}

simplify (3*a/2+b/4-2c)^2 simplify

(3 \cdot \frac{a}{2} + \frac{b}{4} - 2 c)^{2}

simplify (2/3 a-3 b/2-4 c/5)^2 simplify

(\frac{2}{3} a - 3 \frac{b}{2} - 4 \frac{c}{5})^{2}

Frequently Asked Questions (FAQ)

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