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Popular >

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

Solution

simplify

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

Solution

(1 + x^{2})^{2}

Solution steps

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

Apply exponent rule:

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

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

Apply log rule:

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

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

= (1 + x^{2})^{2}

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Frequently Asked Questions (FAQ)

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