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Popular >

simplify e^{-0.428}7

Solution

simplify

e^{- 0.42 \cdot 8} \cdot 7

Solution

0.24314 \dots

Solution steps

e^{- 0.42 \cdot 8} \cdot 7

Apply exponent rule:

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

= 7 \cdot \frac{1}{e ^{8 \cdot 0.42}}

Multiply the numbers:

0.42 \cdot 8 = 3.36

= 7 \cdot \frac{1}{e ^{3.36}}

Multiply fractions:

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

= \frac{1 \cdot 7}{e ^{3.36}}

Multiply the numbers:

1 \cdot 7 = 7

= \frac{7}{e ^{3.36}}

e^{3.36} = 28.78919 \dots

= \frac{7}{28.78919 \dots}

Divide the numbers:

\frac{7}{28.78919 \dots} = 0.24314 \dots

= 0.24314 \dots

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Frequently Asked Questions (FAQ)

What is e^{-0.42*8}*7 ?
The solution to e^{-0.42*8}*7 is 0.24314…