What is 10*e^{-0.03*2} ?

The solution to 10*e^{-0.03*2} is 9.41764…

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simplify 10e^{-0.032}

simplify

10 \cdot e^{- 0.03 \cdot 2}

9.41764 \dots

Solution steps

10 e^{- 0.03 \cdot 2}

Apply exponent rule:

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

= 10 \cdot \frac{1}{e ^{2 \cdot 0.03}}

Multiply the numbers:

0.03 \cdot 2 = 0.06

= 10 \cdot \frac{1}{e ^{0.06}}

Multiply fractions:

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

= \frac{1 \cdot 10}{e ^{0.06}}

Multiply the numbers:

1 \cdot 10 = 10

= \frac{10}{e ^{0.06}}

e^{0.06} = 1.06183 \dots

= \frac{10}{1.06183 \dots}

Divide the numbers:

\frac{10}{1.06183 \dots} = 9.41764 \dots

= 9.41764 \dots

4 e^{4 x} e^{- 6 x}

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13 e^{- 0.2 t}

600 e^{- 0.69}