What is 6000e^{-1.45*4} ?

The solution to 6000e^{-1.45*4} is 18.16532…

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simplify 6000e^{-1.45*4}

simplify

6000 e^{- 1.45 \cdot 4}

18.16532 \dots

Solution steps

6000 e^{- 1.45 \cdot 4}

Apply exponent rule:

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

= 6000 \cdot \frac{1}{e ^{4 \cdot 1.45}}

Multiply the numbers:

1.45 \cdot 4 = 5.8

= 6000 \cdot \frac{1}{e ^{5.8}}

Multiply fractions:

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

= \frac{1 \cdot 6000}{e ^{5.8}}

Multiply the numbers:

1 \cdot 6000 = 6000

= \frac{6000}{e ^{5.8}}

e^{5.8} = 330.29955 \dots

= \frac{6000}{330.29955 \dots}

Divide the numbers:

\frac{6000}{330.29955 \dots} = 18.16532 \dots

= 18.16532 \dots

1.013 e^{- (\frac{0.0342}{250}) 10000} \cdot 1000

1821071.13 \cdot (1 + 0.1)^{- 6}

10000 \cdot 2.2 \cdot 1 0^{- 3}

(7.31 \cdot 1 0^{14}) (6.626 \cdot 1 0^{- 34})