en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{3/2 ln(x^2+1)}

Solution

simplify

e^{\frac{3}{2} l n (x^{2} + 1)}

Solution

(x^{2} + 1)^{\frac{3}{2}}

Solution steps

e^{\frac{3}{2} l n (x^{2} + 1)}

Apply exponent rule:

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

= (e^{l n (x^{2} + 1)})^{\frac{3}{2}}

Apply log rule:

a^{l o g_{a} (b)} = b

e^{l n (x^{2} + 1)} = x^{2} + 1

= (x^{2} + 1)^{\frac{3}{2}}

Popular Examples

4 \frac{3}{4} \div 3

simplify-5+(4+3i)simplify

- 5 + (4 + 3 i)

simplify 15/4-4 simplify

\frac{15}{4} - 4

simplify-xsqrt(150)+9sqrt(150x^2)simplify

- x 150 + 9 150 x^{2}

simplify (-1)^{2+1}simplify

(- 1)^{2 + 1}

Frequently Asked Questions (FAQ)

What is e^{3/2 ln(x^2+1)} ?
The solution to e^{3/2 ln(x^2+1)} is (x^2+1)^{3/2}