What is 400e^{-0.0244(10)} ?

The solution to 400e^{-0.0244(10)} is 313.39505…

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simplify 400e^{-0.0244(10)}

simplify

400 e^{- 0.0244 (10)}

313.39505 \dots

Solution steps

400 e^{- 0.0244 (10)}

Apply exponent rule:

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

= 400 \cdot \frac{1}{e ^{10 \cdot 0.0244}}

Multiply the numbers:

0.0244 \cdot 10 = 0.244

= 400 \cdot \frac{1}{e ^{0.244}}

Multiply fractions:

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

= \frac{1 \cdot 400}{e ^{0.244}}

Multiply the numbers:

1 \cdot 400 = 400

= \frac{400}{e ^{0.244}}

e^{0.244} = 1.27634 \dots

= \frac{400}{1.27634 \dots}

Divide the numbers:

\frac{400}{1.27634 \dots} = 313.39505 \dots

= 313.39505 \dots

f (x)^{\circ} g (x)

e^{3 x} e^{- x}

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