en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (\sqrt[4]{5^3})^{1/2}

Solution

simplify

Solution

5^{\frac{3}{8}}

+1

Decimal Notation

1.82857 \dots

Solution steps

Apply radical rule:

= (5^{\frac{3}{4}})^{\frac{1}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 5^{\frac{3}{4} \cdot \frac{1}{2}}

\frac{3}{4} \cdot \frac{1}{2} = \frac{3}{8}

= 5^{\frac{3}{8}}

Popular Examples

simplify (sqrt(5)-sqrt(3))(sqrt(5)-sqrt(3))simplify

(5 - 3) (5 - 3)

simplify (-36)^{-3/2}simplify

(- 36)^{- \frac{3}{2}}

simplify 2x^2y^2 simplify

2 x^{2} y^{2}

simplify 1.67*10^{-27}simplify

1.67 \cdot 1 0^{- 27}

simplify sqrt((2-\sqrt{7))}^2 simplify

(2 - 7)^{2}

Frequently Asked Questions (FAQ)

What is (\sqrt[4]{5^3})^{1/2} ?
The solution to (\sqrt[4]{5^3})^{1/2} is 5^{3/8}