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 (4)}

11.94986 \dots

Solution steps

32.744 e^{- 0.252 (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

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