What is 20e^{-0.5(7)} ?

The solution to 20e^{-0.5(7)} is 0.60394…

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simplify 20e^{-0.5(7)}

simplify

20 e^{- 0.5 (7)}

0.60394 \dots

Solution steps

20 e^{- 0.5 (7)}

Apply exponent rule:

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

= 20 \cdot \frac{1}{e ^{7 \cdot 0.5}}

Multiply the numbers:

0.5 \cdot 7 = 3.5

= 20 \cdot \frac{1}{e ^{3.5}}

Multiply fractions:

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

= \frac{1 \cdot 20}{e ^{3.5}}

Multiply the numbers:

1 \cdot 20 = 20

= \frac{20}{e ^{3.5}}

e^{3.5} = 33.11545 \dots

= \frac{20}{33.11545 \dots}

Divide the numbers:

\frac{20}{33.11545 \dots} = 0.60394 \dots

= 0.60394 \dots

e^{(t - 5)} e^{- s t}

0.9 2^{2} + (- 5.92)^{2}