en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(e^3)

Solution

simplify

e^{3}

Solution

e^{\frac{3}{2}}

+1

Decimal Notation

4.48168 \dots

Solution steps

e^{3}

Apply radical rule:

a = a^{\frac{1}{2}}

= (e^{3})^{\frac{1}{2}}

Apply exponent rule:

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

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

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

= e^{\frac{3}{2}}

Popular Examples

simplify (x-sqrt(2))^6(x+sqrt(2))^6x^4 simplify

(x - 2)^{6} (x + 2)^{6} x^{4}

simplify (sqrt(uv^3))^5 simplify

(u v^{3})^{5}

simplify 7e^{-2^2}simplify

7 e^{- 2^{2}}

simplify 4.5sqrt(3)*4.5 simplify

4.5 3 \cdot 4.5

simplify (0.4*10^{-6})(0.7*10^{-2})simplify

(0.4 \cdot 1 0^{- 6}) (0.7 \cdot 1 0^{- 2})

Frequently Asked Questions (FAQ)

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