What is 900e^{(-2.4849*4)} ?

The solution to 900e^{(-2.4849*4)} is 0.04340…

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simplify 900e^{(-2.4849*4)}

simplify

900 e^{(- 2.4849 \cdot 4)}

0.04340 \dots

Solution steps

900 e^{(- 2.4849 \cdot 4)}

Apply exponent rule:

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

= 900 \cdot \frac{1}{e ^{4 \cdot 2.4849}}

Multiply the numbers:

2.4849 \cdot 4 = 9.9396

= 900 \cdot \frac{1}{e ^{9.9396}}

Multiply fractions:

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

= \frac{1 \cdot 900}{e ^{9.9396}}

Multiply the numbers:

1 \cdot 900 = 900

= \frac{900}{e ^{9.9396}}

e^{9.9396} = 20735.44844 \dots

= \frac{900}{20735.44844 \dots}

Divide the numbers:

\frac{900}{20735.44844 \dots} = 0.04340 \dots

= 0.04340 \dots

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