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Popular >

simplify 3e^{-0.8*3}

Solution

simplify

3 e^{- 0.8 \cdot 3}

Solution

0.27215 \dots

Solution steps

3 e^{- 0.8 \cdot 3}

Apply exponent rule:

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

= 3 \cdot \frac{1}{e ^{3 \cdot 0.8}}

Multiply the numbers:

0.8 \cdot 3 = 2.4

= 3 \cdot \frac{1}{e ^{2.4}}

Multiply fractions:

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

= \frac{1 \cdot 3}{e ^{2.4}}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{3}{e ^{2.4}}

e^{2.4} = 11.02317 \dots

= \frac{3}{11.02317 \dots}

Divide the numbers:

\frac{3}{11.02317 \dots} = 0.27215 \dots

= 0.27215 \dots

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Frequently Asked Questions (FAQ)

What is 3e^{-0.8*3} ?
The solution to 3e^{-0.8*3} is 0.27215…