What is 19050e^{-0.05(32)} ?

The solution to 19050e^{-0.05(32)} is 3846.12866…

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simplify 19050e^{-0.05(32)}

simplify

19050 e^{- 0.05 (32)}

3846.12866 \dots

Solution steps

19050 e^{- 0.05 (32)}

Apply exponent rule:

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

= 19050 \cdot \frac{1}{e ^{32 \cdot 0.05}}

Multiply the numbers:

0.05 \cdot 32 = 1.6

= 19050 \cdot \frac{1}{e ^{1.6}}

Multiply fractions:

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

= \frac{1 \cdot 19050}{e ^{1.6}}

Multiply the numbers:

1 \cdot 19050 = 19050

= \frac{19050}{e ^{1.6}}

e^{1.6} = 4.95303 \dots

= \frac{19050}{4.95303 \dots}

Divide the numbers:

\frac{19050}{4.95303 \dots} = 3846.12866 \dots

= 3846.12866 \dots

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