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Popular >

simplify 4e^{-0.65*8}

Solution

simplify

4 e^{- 0.65 \cdot 8}

Solution

0.02206 \dots

Solution steps

4 e^{- 0.65 \cdot 8}

Apply exponent rule:

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

= 4 \cdot \frac{1}{e ^{8 \cdot 0.65}}

Multiply the numbers:

0.65 \cdot 8 = 5.2

= 4 \cdot \frac{1}{e ^{5.2}}

Multiply fractions:

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

= \frac{1 \cdot 4}{e ^{5.2}}

Multiply the numbers:

1 \cdot 4 = 4

= \frac{4}{e ^{5.2}}

e^{5.2} = 181.27224 \dots

= \frac{4}{181.27224 \dots}

Divide the numbers:

\frac{4}{181.27224 \dots} = 0.02206 \dots

= 0.02206 \dots

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Frequently Asked Questions (FAQ)

What is 4e^{-0.65*8} ?
The solution to 4e^{-0.65*8} is 0.02206…