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Popular >

simplify 3e^{-1.62}

Solution

simplify

3 \cdot e^{- 1.6 \cdot 2}

Solution

0.12228 \dots

Solution steps

3 e^{- 1.6 \cdot 2}

Apply exponent rule:

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

= 3 \cdot \frac{1}{e ^{2 \cdot 1.6}}

Multiply the numbers:

1.6 \cdot 2 = 3.2

= 3 \cdot \frac{1}{e ^{3.2}}

Multiply fractions:

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

= \frac{1 \cdot 3}{e ^{3.2}}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{3}{e ^{3.2}}

e^{3.2} = 24.53253 \dots

= \frac{3}{24.53253 \dots}

Divide the numbers:

\frac{3}{24.53253 \dots} = 0.12228 \dots

= 0.12228 \dots

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Frequently Asked Questions (FAQ)

What is 3*e^{-1.6*2} ?
The solution to 3*e^{-1.6*2} is 0.12228…