What is e^{(x^4)/4}(e^{-(x^4)/4}) ?

The solution to e^{(x^4)/4}(e^{-(x^4)/4}) is 1

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simplify e^{(x^4)/4}(e^{-(x^4)/4})

simplify

e^{\frac{x ^{4}}{4}} (e^{- \frac{x ^{4}}{4}})

1

Solution steps

e^{\frac{x ^{4}}{4}} (e^{- \frac{x ^{4}}{4}})

Apply exponent rule:

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

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Cancel the common factor:

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

= 1

- 2.96 \cdot 1.9044 \cdot 1 0^{- 6}

e^{- 1.119}

e^{- 0.02 \cdot 100}

(5.3 \cdot 1 0^{3}) (6 \cdot 1 0^{6})

0.64 0.49

What is e^{(x^4)/4}(e^{-(x^4)/4}) ?
The solution to e^{(x^4)/4}(e^{-(x^4)/4}) is 1