en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

Solution

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

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

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

Apply exponent rule:

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

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

Popular Examples

simplify (6x^2)(6x^3y^4)simplify

(6 x^{2}) (6 x^{3} y^{4})

simplify 4.6*10^{-2}simplify

4.6 \cdot 1 0^{- 2}

simplify 72e^{-0.0673t}*(-0.0673)simplify

72 e^{- 0.0673 t} \cdot (- 0.0673)

simplify (2.3*10^3)(3.6*10^3)simplify

(2.3 \cdot 1 0^{3}) (3.6 \cdot 1 0^{3})

simplify k(k-1)^2(k-2)^2 simplify

k (k - 1)^{2} (k - 2)^{2}

Frequently Asked Questions (FAQ)

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