What is 90e^{-3*0.5} ?

The solution to 90e^{-3*0.5} is 20.08171…

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simplify 90e^{-3*0.5}

simplify

90 e^{- 3 \cdot 0.5}

20.08171 \dots

Solution steps

90 e^{- 3 \cdot 0.5}

Apply exponent rule:

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

= 90 \cdot \frac{1}{e ^{3 \cdot 0.5}}

Multiply the numbers:

3 \cdot 0.5 = 1.5

= 90 \cdot \frac{1}{e ^{1.5}}

Multiply fractions:

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

= \frac{1 \cdot 90}{e ^{1.5}}

Multiply the numbers:

1 \cdot 90 = 90

= \frac{90}{e ^{1.5}}

e^{1.5} = 4.48168 \dots

= \frac{90}{4.48168 \dots}

Divide the numbers:

\frac{90}{4.48168 \dots} = 20.08171 \dots

= 20.08171 \dots

1.1 e^{- 10} \cdot 233.2

\frac{7 w}{3}

8.11 \cdot 1 0^{- 3}