What is 4000e^{-0.0512(6)} ?

The solution to 4000e^{-0.0512(6)} is 2942.01394…

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simplify 4000e^{-0.0512(6)}

simplify

4000 e^{- 0.0512 (6)}

2942.01394 \dots

Solution steps

4000 e^{- 0.0512 (6)}

Apply exponent rule:

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

= 4000 \cdot \frac{1}{e ^{6 \cdot 0.0512}}

Multiply the numbers:

0.0512 \cdot 6 = 0.3072

= 4000 \cdot \frac{1}{e ^{0.3072}}

Multiply fractions:

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

= \frac{1 \cdot 4000}{e ^{0.3072}}

Multiply the numbers:

1 \cdot 4000 = 4000

= \frac{4000}{e ^{0.3072}}

e^{0.3072} = 1.35961 \dots

= \frac{4000}{1.35961 \dots}

Divide the numbers:

\frac{4000}{1.35961 \dots} = 2942.01394 \dots

= 2942.01394 \dots

9.56 \cdot 1 0^{- 1}

42 \cdot 1 0^{- 6} \cdot 2.5

2^{3} \cdot 3^{2}

(5 c d e)^{3}

1331071.13 \cdot (1 + 0.1)^{- 1}