en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3x(\sqrt[5]{2x})^3

Solution

simplify

Solution

3 \cdot 2^{\frac{3}{5}} x^{\frac{8}{5}}

Solution steps

= 3 x (2 x)^{\frac{3}{5}}

Apply exponent rule:

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

(2 x)^{\frac{3}{5}} = 2^{\frac{3}{5}} x^{\frac{3}{5}}

= 3 \cdot 2^{\frac{3}{5}} x x^{\frac{3}{5}}

Apply exponent rule:

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

x x^{\frac{3}{5}} = x^{1 + \frac{3}{5}}

= 3 \cdot 2^{\frac{3}{5}} x^{1 + \frac{3}{5}}

x^{1 + \frac{3}{5}} = x^{\frac{8}{5}}

= 3 \cdot 2^{\frac{3}{5}} x^{\frac{8}{5}}

Popular Examples

simplify 2(xy^2)(2xy^2)simplify

2 (x y^{2}) (2 x y^{2})

simplify 100*e^{-pi}simplify

100 \cdot e^{- π}

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

e^{- x} \cdot (e^{- x})

simplify (d^2)/(d^2x)(e^{-x})simplify

\frac{d ^{2}}{d ^{2} x} (e^{- x})

simplify e^{-sqrt(x^2-16)}simplify

e^{- x^{2} - 16}

Frequently Asked Questions (FAQ)

What is 3x(\sqrt[5]{2x})^3 ?
The solution to 3x(\sqrt[5]{2x})^3 is 3*2^{3/5}x^{8/5}