en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(5)^{3/2}

Solution

simplify

5^{\frac{3}{2}}

Solution

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

+1

Decimal Notation

3.34370 \dots

Solution steps

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

Apply exponent rule:

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

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

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

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

Popular Examples

simplify (a^4b^2c^6)(a^2b^3c^3)simplify

(a^{4} b^{2} c^{6}) (a^{2} b^{3} c^{3})

simplify \sqrt[4]{6^2}*sqrt(6)simplify

simplify 2*5.7*10^{-11}simplify

2 \cdot 5.7 \cdot 1 0^{- 11}

simplify 3^{1/4}*5^{1/4}simplify

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

simplify (8.13*10^{-6})*(4pi*(1.22)^2)simplify

(8.13 \cdot 1 0^{- 6}) \cdot (4 π \cdot (1.22)^{2})

Frequently Asked Questions (FAQ)

What is sqrt(5)^{3/2} ?
The solution to sqrt(5)^{3/2} is 5^{3/4}