What is e^{-x^4}*12x^3 ?

The solution to e^{-x^4}*12x^3 is (12x^3)/(e^{x^4)}

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simplify e^{-x^4}*12x^3

simplify

e^{- x^{4}} \cdot 12 x^{3}

\frac{12 x ^{3}}{e ^{x^{4}}}

Solution steps

e^{- x^{4}} \cdot 12 x^{3}

Apply exponent rule:

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

= 12 \cdot \frac{1}{e ^{x^{4}}} x^{3}

Multiply fractions:

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

= \frac{1 \cdot 12 x ^{3}}{e ^{x^{4}}}

Multiply the numbers:

1 \cdot 12 = 12

= \frac{12 x ^{3}}{e ^{x^{4}}}

π x 6^{2} x \frac{1}{2}

2.5 x 1 0^{- 3}

3000 (1.6 x 1 0^{- 19})

1 0^{- 518.1}

e^{- 8.57} \cdot \frac{8.57}{1}