en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify \sqrt[4]{(7x)^3}

Solution

simplify

Solution

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

Solution steps

Apply radical rule:

= ((7 x)^{3})^{\frac{1}{4}}

Apply exponent rule:

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

assuming

a \geq 0

= (7 x)^{3 \cdot \frac{1}{4}}

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

= (7 x)^{\frac{3}{4}}

Apply exponent rule:

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

= 7^{\frac{3}{4}} x^{\frac{3}{4}}

Popular Examples

simplify (sqrt(125))^3 simplify

(125)^{3}

simplify 1/(sqrt(2pi))e^{-(1^2)/2}simplify

\frac{1}{2 π} e^{- \frac{1 ^{2}}{2}}

simplify 0*e^{-2*0}simplify

0 \cdot e^{- 2 \cdot 0}

simplify 4x^3y(5x^2y^5)simplify

4 x^{3} y (5 x^{2} y^{5})

simplify sqrt(a^{-1)}*\sqrt[4]{a^3}*\sqrt[4]{a}simplify

Frequently Asked Questions (FAQ)

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