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}\sqrt[6]{x^2}

Solution

simplify

3 x^{2} 6 x^{2}

Solution

x

Solution steps

3 x^{2} 6 x^{2}

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

6 x^{2} = (x^{2})^{\frac{1}{6}}

= (x^{2})^{\frac{1}{3}} (x^{2})^{\frac{1}{6}}

Apply exponent rule:

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

(x^{2})^{\frac{1}{3}} (x^{2})^{\frac{1}{6}} = (x^{2})^{\frac{1}{3} + \frac{1}{6}}

= (x^{2})^{\frac{1}{3} + \frac{1}{6}}

\frac{1}{3} + \frac{1}{6} = \frac{1}{2}

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

= x^{1}

Apply exponent rule:

a^{1} = a

= x

Popular Examples

simplify 4.2\times 10^{-3}simplify

4.2 \times 1 0^{- 3}

simplify-1/(2ln(3))*3^{-2^2}simplify

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

simplify (sqrt(4-x^2))^4 simplify

(4 - x^{2})^{4}

simplify (4x^2)(3x)simplify

(4 x^{2}) (3 x)

simplify \sqrt[4]{sqrt(5^{24)}}simplify

4 5^{24}

Frequently Asked Questions (FAQ)

What is \sqrt[3]{x^2}\sqrt[6]{x^2} ?
The solution to \sqrt[3]{x^2}\sqrt[6]{x^2} is x