What is 600e^{-0.032(6)} ?

The solution to 600e^{-0.032(6)} is 495.18412…

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simplify 600e^{-0.032(6)}

simplify

600 e^{- 0.032 (6)}

495.18412 \dots

Solution steps

600 e^{- 0.032 (6)}

Apply exponent rule:

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

= 600 \cdot \frac{1}{e ^{6 \cdot 0.032}}

Multiply the numbers:

0.032 \cdot 6 = 0.192

= 600 \cdot \frac{1}{e ^{0.192}}

Multiply fractions:

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

= \frac{1 \cdot 600}{e ^{0.192}}

Multiply the numbers:

1 \cdot 600 = 600

= \frac{600}{e ^{0.192}}

e^{0.192} = 1.21167 \dots

= \frac{600}{1.21167 \dots}

Divide the numbers:

\frac{600}{1.21167 \dots} = 495.18412 \dots

= 495.18412 \dots

600 e^{- 0.032 (8)}

(\frac{2}{3})^{16}

(2 x) x

y e^{- 2 x} \cdot (y e^{x})^{3}