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Popular >

simplify \sqrt[4]{e^{x^4}}

Solution

simplify

Solution

e^{\frac{x ^{4}}{4}}

Solution steps

Apply radical rule:

= (e^{x^{4}})^{\frac{1}{4}}

Apply exponent rule:

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

= e^{x^{4} \frac{1}{4}}

Simplify

x^{4} \frac{1}{4} : \frac{x ^{4}}{4}

= e^{\frac{x ^{4}}{4}}

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Frequently Asked Questions (FAQ)

What is \sqrt[4]{e^{x^4}} ?
The solution to \sqrt[4]{e^{x^4}} is e^{(x^4)/4}