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Popular >

simplify 7e^{-0.1*6}

Solution

simplify

7 e^{- 0.1 \cdot 6}

Solution

3.84168 \dots

Solution steps

7 e^{- 0.1 \cdot 6}

Apply exponent rule:

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

= 7 \cdot \frac{1}{e ^{6 \cdot 0.1}}

Multiply the numbers:

0.1 \cdot 6 = 0.6

= 7 \cdot \frac{1}{e ^{0.6}}

Multiply fractions:

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

= \frac{1 \cdot 7}{e ^{0.6}}

Multiply the numbers:

1 \cdot 7 = 7

= \frac{7}{e ^{0.6}}

e^{0.6} = 1.82211 \dots

= \frac{7}{1.82211 \dots}

Divide the numbers:

\frac{7}{1.82211 \dots} = 3.84168 \dots

= 3.84168 \dots

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Frequently Asked Questions (FAQ)

What is 7e^{-0.1*6} ?
The solution to 7e^{-0.1*6} is 3.84168…