What is 459000e^{-0.016(2)} ?

The solution to 459000e^{-0.016(2)} is 444544.52117…

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simplify 459000e^{-0.016(2)}

simplify

459000 e^{- 0.016 (2)}

444544.52117 \dots

Solution steps

459000 e^{- 0.016 (2)}

Apply exponent rule:

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

= 459000 \cdot \frac{1}{e ^{2 \cdot 0.016}}

Multiply the numbers:

0.016 \cdot 2 = 0.032

= 459000 \cdot \frac{1}{e ^{0.032}}

Multiply fractions:

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

= \frac{1 \cdot 459000}{e ^{0.032}}

Multiply the numbers:

1 \cdot 459000 = 459000

= \frac{459000}{e ^{0.032}}

e^{0.032} = 1.03251 \dots

= \frac{459000}{1.03251 \dots}

Divide the numbers:

\frac{459000}{1.03251 \dots} = 444544.52117 \dots

= 444544.52117 \dots

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What is 459000e^{-0.016(2)} ?
The solution to 459000e^{-0.016(2)} is 444544.52117…