What is 19050e^{-0.05(33)} ?

The solution to 19050e^{-0.05(33)} is 3658.55075…

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simplify 19050e^{-0.05(33)}

simplify

19050 e^{- 0.05 (33)}

3658.55075 \dots

Solution steps

19050 e^{- 0.05 (33)}

Apply exponent rule:

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

= 19050 \cdot \frac{1}{e ^{33 \cdot 0.05}}

Multiply the numbers:

0.05 \cdot 33 = 1.65

= 19050 \cdot \frac{1}{e ^{1.65}}

Multiply fractions:

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

= \frac{1 \cdot 19050}{e ^{1.65}}

Multiply the numbers:

1 \cdot 19050 = 19050

= \frac{19050}{e ^{1.65}}

e^{1.65} = 5.20697 \dots

= \frac{19050}{5.20697 \dots}

Divide the numbers:

\frac{19050}{5.20697 \dots} = 3658.55075 \dots

= 3658.55075 \dots

e^{c o s (x)} \cdot e^{c o s (x)}

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