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Popular >

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

Solution

simplify

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

Solution

e^{x^{2}} x

Solution steps

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

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

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

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

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

Simplify

e^{l n (x)} : x

= x e^{x^{2}}

= e^{x^{2}} x

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Frequently Asked Questions (FAQ)

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