en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify \sqrt[5]{(3y)^4}

Solution

simplify

Solution

3^{\frac{4}{5}} y^{\frac{4}{5}}

Solution steps

Apply radical rule:

= ((3 y)^{4})^{\frac{1}{5}}

Apply exponent rule:

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

assuming

a \geq 0

= (3 y)^{4 \cdot \frac{1}{5}}

4 \cdot \frac{1}{5} = \frac{4}{5}

= (3 y)^{\frac{4}{5}}

Apply exponent rule:

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

= 3^{\frac{4}{5}} y^{\frac{4}{5}}

Popular Examples

simplify 8m^2n^3p^5(3m^6p^5)simplify

8 m^{2} n^{3} p^{5} (3 m^{6} p^{5})

simplify-((n)^3e^{-(n)^4})simplify

- ((n)^{3} e^{- (n)^{4}})

simplify (30*10^{-2})(162.86)simplify

(30 \cdot 1 0^{- 2}) (162.86)

simplify 5(1.6x10^{-19})simplify

5 (1.6 x 1 0^{- 19})

simplify 423M_{b}^{-0.409}simplify

423 M_{b}^{- 0.409}

Frequently Asked Questions (FAQ)

What is \sqrt[5]{(3y)^4} ?
The solution to \sqrt[5]{(3y)^4} is 3^{4/5}y^{4/5}