What is 32.744e^{-0.252*4} ?

The solution to 32.744e^{-0.252*4} is 11.94986…

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simplify 32.744e^{-0.252*4}

simplify

32.744 e^{- 0.252 \cdot 4}

11.94986 \dots

Solution steps

32.744 e^{- 0.252 \cdot 4}

Apply exponent rule:

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

= 32.744 \cdot \frac{1}{e ^{4 \cdot 0.252}}

Multiply the numbers:

0.252 \cdot 4 = 1.008

= 32.744 \cdot \frac{1}{e ^{1.008}}

Multiply fractions:

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

= \frac{1 \cdot 32.744}{e ^{1.008}}

Multiply the numbers:

1 \cdot 32.744 = 32.744

= \frac{32.744}{e ^{1.008}}

e^{1.008} = 2.74011 \dots

= \frac{32.744}{2.74011 \dots}

Divide the numbers:

\frac{32.744}{2.74011 \dots} = 11.94986 \dots

= 11.94986 \dots

e^{- 4} \cdot \frac{40}{104}

x^{2} (x + 2) (x - 3)^{2}

- e^{- 234 x}

(125663.7) \cdot 0.762 \cdot (10 \cdot 1 0^{- 9})

x \cdot e^{- 0.5 x^{2}}