en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (sqrt(x)*\sqrt[3]{x})^6

Solution

simplify

Solution

x^{5}

Solution steps

Apply exponent rule:

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

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

Simplify

= (x^{\frac{5}{6}})^{6}

Apply exponent rule:

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

= x^{\frac{5}{6} \cdot 6}

\frac{5}{6} \cdot 6 = 5

= x^{5}

Popular Examples

simplify ((sqrt(2))/2+(sqrt(2))/2 i)^8 simplify

(\frac{2}{2} + \frac{2}{2} i)^{8}

simplify x/(sin(x))simplify

\frac{x}{sin ( x )}

simplify tan^2(x)(csc^2(x)-1)simplify

tan^{2} (x) (csc^{2} (x) - 1)

simplify (1-cos(x))(1+cos(x))simplify

(1 - cos (x)) (1 + cos (x))

simplify 1+cos(2x)simplify

1 + cos (2 x)

Frequently Asked Questions (FAQ)

What is (sqrt(x)*\sqrt[3]{x})^6 ?
The solution to (sqrt(x)*\sqrt[3]{x})^6 is x^5