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\sqrt{x)}

Solution

simplify

x^{3} x

Solution

Solution steps

x^{3} x

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

x^{3} x = x^{3} x

= x^{3} x

Simplify

x^{3} : x x

= x x x

Simplify

Simplify

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

Apply exponent rule:

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

x x^{\frac{3}{4}} = x^{1 + \frac{3}{4}}

= x^{1 + \frac{3}{4}}

1 + \frac{3}{4} = \frac{7}{4}

= x^{\frac{7}{4}}

Popular Examples

simplify (2pi)/(1/10)simplify

\frac{2 π}{\frac{1}{10}}

simplify (5e^{7x})^4 simplify

(5 e^{7 x})^{4}

simplify (7-6i)+(7-3i)simplify

(7 - 6 i) + (7 - 3 i)

simplify (469.2-520)/(sqrt(249.6))simplify

\frac{469.2 - 520}{249.6}

simplify 7/4+1/8 simplify

\frac{7}{4} + \frac{1}{8}

Frequently Asked Questions (FAQ)

What is sqrt(x^3\sqrt{x)} ?
The solution to sqrt(x^3\sqrt{x)} is \sqrt[4]{x^7}