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Popular >

simplify 8e^{-0.17*8}

Solution

simplify

8 e^{- 0.17 \cdot 8}

Solution

2.05328 \dots

Solution steps

8 e^{- 0.17 \cdot 8}

Apply exponent rule:

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

= 8 \cdot \frac{1}{e ^{8 \cdot 0.17}}

Multiply the numbers:

0.17 \cdot 8 = 1.36

= 8 \cdot \frac{1}{e ^{1.36}}

Multiply fractions:

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

= \frac{1 \cdot 8}{e ^{1.36}}

Multiply the numbers:

1 \cdot 8 = 8

= \frac{8}{e ^{1.36}}

e^{1.36} = 3.89619 \dots

= \frac{8}{3.89619 \dots}

Divide the numbers:

\frac{8}{3.89619 \dots} = 2.05328 \dots

= 2.05328 \dots

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Frequently Asked Questions (FAQ)

What is 8e^{-0.17*8} ?
The solution to 8e^{-0.17*8} is 2.05328…