en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (e^{ln(x^2)})^2

Solution

simplify

(e^{l n (x^{2})})^{2}

Solution

x^{4}

Solution steps

(e^{l n (x^{2})})^{2}

Apply exponent rule:

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

= e^{l n (x^{2}) \cdot 2}

Simplify

ln (x^{2}) : 2 ln (x)

= e^{2 \cdot 2 l n (x)}

Multiply the numbers:

2 \cdot 2 = 4

= e^{4 l n (x)}

Apply exponent rule:

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

= (e^{l n (x)})^{4}

Apply log rule:

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

e^{l n (x)} = x

= x^{4}

Popular Examples

simplify 4.52*10^{-6}simplify

4.52 \cdot 1 0^{- 6}

simplify (6s^7t^7)(7s^7t)simplify

(6 s^{7} t^{7}) (7 s^{7} t)

simplify-e^{-0.02*50}simplify

- e^{- 0.02 \cdot 50}

simplify ((2rb-2rx)^3)/(b^3)simplify

\frac{( 2 r b - 2 r x ) ^{3}}{b ^{3}}

simplify e^{-3t}sin(4t+pi/4)simplify

e^{- 3 t} sin (4 t + \frac{π}{4})

Frequently Asked Questions (FAQ)

What is (e^{ln(x^2)})^2 ?
The solution to (e^{ln(x^2)})^2 is x^4