What is 400e^{-0.08664(23)} ?

The solution to 400e^{-0.08664(23)} is 54.52964…

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simplify 400e^{-0.08664(23)}

simplify

400 e^{- 0.08664 (23)}

54.52964 \dots

Solution steps

400 e^{- 0.08664 (23)}

Apply exponent rule:

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

= 400 \cdot \frac{1}{e ^{23 \cdot 0.08664}}

Multiply the numbers:

0.08664 \cdot 23 = 1.99272

= 400 \cdot \frac{1}{e ^{1.99272}}

Multiply fractions:

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

= \frac{1 \cdot 400}{e ^{1.99272}}

Multiply the numbers:

1 \cdot 400 = 400

= \frac{400}{e ^{1.99272}}

e^{1.99272} = 7.33545 \dots

= \frac{400}{7.33545 \dots}

Divide the numbers:

\frac{400}{7.33545 \dots} = 54.52964 \dots

= 54.52964 \dots

3 e^{t} \cdot e^{- t}

2 \cdot 35.1 \cdot 1 0^{- 6}

a^{2} \cdot x^{2}

100 e^{- 0.00507 \cdot 24}

t cos (3 t) e^{- t}