en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^{4/3}x^{2/3})^{1/3}

Solution

simplify

(x^{\frac{4}{3}} x^{\frac{2}{3}})^{\frac{1}{3}}

Solution

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

Solution steps

(x^{\frac{4}{3}} x^{\frac{2}{3}})^{\frac{1}{3}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(x^{\frac{4}{3}} x^{\frac{2}{3}})^{\frac{1}{3}} = (x^{\frac{4}{3}})^{\frac{1}{3}} (x^{\frac{2}{3}})^{\frac{1}{3}}

= (x^{\frac{4}{3}})^{\frac{1}{3}} (x^{\frac{2}{3}})^{\frac{1}{3}}

Simplify

(x^{\frac{4}{3}})^{\frac{1}{3}} : x^{\frac{4}{9}}

= x^{\frac{4}{9}} (x^{\frac{2}{3}})^{\frac{1}{3}}

Simplify

(x^{\frac{2}{3}})^{\frac{1}{3}} : x^{\frac{2}{9}}

= x^{\frac{4}{9}} x^{\frac{2}{9}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{\frac{4}{9}} x^{\frac{2}{9}} = x^{\frac{4}{9} + \frac{2}{9}}

= x^{\frac{4}{9} + \frac{2}{9}}

Join

\frac{4}{9} + \frac{2}{9} : \frac{2}{3}

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

Popular Examples

simplify a/(a-b)-(2ab)/(a^2-b^2)simplify

\frac{a}{a - b} - \frac{2 ab}{a ^{2} - b ^{2}}

- 4 (x - 3) \geq 2 x + 5

6(2x-1)^2+2=-7(2x-1)

6 (2 x - 1)^{2} + 2 = - 7 (2 x - 1)

6 (x + 4) + 1 = x + 5

factor x^2-4xy-77y^2 factor

x^{2} - 4 x y - 77 y^{2}

Frequently Asked Questions (FAQ)

What is (x^{4/3}x^{2/3})^{1/3} ?
The solution to (x^{4/3}x^{2/3})^{1/3} is x^{2/3}