en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

x^{\frac{2}{3}} y^{\frac{4}{3}}

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

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

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

Simplify

(y^{4})^{\frac{1}{3}} : y^{\frac{4}{3}}

= x^{\frac{2}{3}} y^{\frac{4}{3}}

Popular Examples

simplify 2/7 \times 3/5 simplify

\frac{2}{7} \times \frac{3}{5}

simplify (7-9i)(7+9i)simplify

(7 - 9 i) (7 + 9 i)

simplify y*1/2 simplify

y \cdot \frac{1}{2}

factor 2x^2-14x-16 factor

2 x^{2} - 14 x - 16

simplify sqrt(0.38)simplify

0.38

Frequently Asked Questions (FAQ)

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