en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify \sqrt[4]{(3x)}^3

Solution

simplify

Solution

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

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

\frac{1}{4} \cdot 3 = \frac{3}{4}

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

Apply exponent rule:

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

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

Popular Examples

simplify e^{sqrt(x)}*e^{sqrt(x)}simplify

e^{x} \cdot e^{x}

simplify 2\sqrt[5]{x^4}simplify

simplify \sqrt[5]{(64a^6)}^5 simplify

simplify 2(-2x^2+3)0.2(-2x^2+3)simplify

2 (- 2 x^{2} + 3) 0.2 (- 2 x^{2} + 3)

simplify sqrt(2x)^3 simplify

2 x^{3}

Frequently Asked Questions (FAQ)

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