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Popular >

simplify 4e^{-3(0.3)}

Solution

simplify

4 e^{- 3 (0.3)}

Solution

1.62627 \dots

Solution steps

4 e^{- 3 (0.3)}

Apply exponent rule:

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

= 4 \cdot \frac{1}{e ^{3 \cdot 0.3}}

Multiply the numbers:

3 \cdot 0.3 = 0.9

= 4 \cdot \frac{1}{e ^{0.9}}

Multiply fractions:

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

= \frac{1 \cdot 4}{e ^{0.9}}

Multiply the numbers:

1 \cdot 4 = 4

= \frac{4}{e ^{0.9}}

e^{0.9} = 2.45960 \dots

= \frac{4}{2.45960 \dots}

Divide the numbers:

\frac{4}{2.45960 \dots} = 1.62627 \dots

= 1.62627 \dots

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Frequently Asked Questions (FAQ)

What is 4e^{-3(0.3)} ?
The solution to 4e^{-3(0.3)} is 1.62627…