What is 400e^{-3*0.23} ?

The solution to 400e^{-3*0.23} is 200.63042…

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simplify 400e^{-3*0.23}

simplify

400 e^{- 3 \cdot 0.23}

200.63042 \dots

Solution steps

400 e^{- 3 \cdot 0.23}

Apply exponent rule:

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

= 400 \cdot \frac{1}{e ^{3 \cdot 0.23}}

Multiply the numbers:

3 \cdot 0.23 = 0.69

= 400 \cdot \frac{1}{e ^{0.69}}

Multiply fractions:

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

= \frac{1 \cdot 400}{e ^{0.69}}

Multiply the numbers:

1 \cdot 400 = 400

= \frac{400}{e ^{0.69}}

e^{0.69} = 1.99371 \dots

= \frac{400}{1.99371 \dots}

Divide the numbers:

\frac{400}{1.99371 \dots} = 200.63042 \dots

= 200.63042 \dots

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100 e^{- 0.00507 (24)}