What is 14600e^{-0.158(2)} ?

The solution to 14600e^{-0.158(2)} is 10644.26797…

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simplify 14600e^{-0.158(2)}

simplify

14600 e^{- 0.158 (2)}

10644.26797 \dots

Solution steps

14600 e^{- 0.158 (2)}

Apply exponent rule:

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

= 14600 \cdot \frac{1}{e ^{2 \cdot 0.158}}

Multiply the numbers:

0.158 \cdot 2 = 0.316

= 14600 \cdot \frac{1}{e ^{0.316}}

Multiply fractions:

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

= \frac{1 \cdot 14600}{e ^{0.316}}

Multiply the numbers:

1 \cdot 14600 = 14600

= \frac{14600}{e ^{0.316}}

e^{0.316} = 1.37163 \dots

= \frac{14600}{1.37163 \dots}

Divide the numbers:

\frac{14600}{1.37163 \dots} = 10644.26797 \dots

= 10644.26797 \dots

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