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Popular >

simplify 3e^{-0.3(1)}

Solution

simplify

3 e^{- 0.3 (1)}

Solution

2.22245 \dots

Solution steps

3 e^{- 0.3 (1)}

Apply exponent rule:

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

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

Multiply the numbers:

0.3 \cdot 1 = 0.3

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 3 = 3

= \frac{3}{e ^{0.3}}

e^{0.3} = 1.34985 \dots

= \frac{3}{1.34985 \dots}

Divide the numbers:

\frac{3}{1.34985 \dots} = 2.22245 \dots

= 2.22245 \dots

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Frequently Asked Questions (FAQ)

What is 3e^{-0.3(1)} ?
The solution to 3e^{-0.3(1)} is 2.22245…