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Popular >

simplify (x^2e^{ax^3})^2

Solution

simplify

(x^{2} \cdot e^{a \cdot x^{3}})^{2}

Solution

e^{2 a x^{3}} x^{4}

Solution steps

(x^{2} e^{a x^{3}})^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= (x^{2})^{2} (e^{a x^{3}})^{2}

(x^{2})^{2} : x^{4}

= x^{4} (e^{a x^{3}})^{2}

(e^{a x^{3}})^{2} : e^{a x^{3} \cdot 2}

= x^{4} e^{a x^{3} \cdot 2}

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Frequently Asked Questions (FAQ)

What is (x^2*e^{a*x^3})^2 ?
The solution to (x^2*e^{a*x^3})^2 is e^{2ax^3}x^4