What is 342000e^{-0.023(14)} ?

The solution to 342000e^{-0.023(14)} is 247846.78109…

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simplify 342000e^{-0.023(14)}

simplify

342000 e^{- 0.023 (14)}

247846.78109 \dots

Solution steps

342000 e^{- 0.023 (14)}

Apply exponent rule:

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

= 342000 \cdot \frac{1}{e ^{14 \cdot 0.023}}

Multiply the numbers:

0.023 \cdot 14 = 0.322

= 342000 \cdot \frac{1}{e ^{0.322}}

Multiply fractions:

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

= \frac{1 \cdot 342000}{e ^{0.322}}

Multiply the numbers:

1 \cdot 342000 = 342000

= \frac{342000}{e ^{0.322}}

e^{0.322} = 1.37988 \dots

= \frac{342000}{1.37988 \dots}

Divide the numbers:

\frac{342000}{1.37988 \dots} = 247846.78109 \dots

= 247846.78109 \dots

8 a^{2} b^{3} (27 a^{4}) (25 ab)

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200 \cdot (1 + 0 \cdot 0.3)^{(- 1)}

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What is 342000e^{-0.023(14)} ?
The solution to 342000e^{-0.023(14)} is 247846.78109…