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Popular >

simplify e^{x^3}*e^{x^{-3}}

Solution

simplify

e^{x^{3}} \cdot e^{x^{- 3}}

Solution

e^{x^{3} + \frac{1}{x ^{3}}}

Solution steps

e^{x^{3}} e^{x^{- 3}}

Apply exponent rule:

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

e^{x^{3}} e^{x^{- 3}} = e^{x^{3} + x^{- 3}}

= e^{x^{3} + x^{- 3}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= e^{x^{3} + \frac{1}{x ^{3}}}

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Frequently Asked Questions (FAQ)

What is e^{x^3}*e^{x^{-3}} ?
The solution to e^{x^3}*e^{x^{-3}} is e^{x^3+1/(x^3)}