simplify 3e^{-0.1}

Solution

simplify

3 e^{- 0.1}

2.71451 \dots

Solution steps

3 e^{- 0.1}

Apply exponent rule:

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

= 3 \cdot \frac{1}{e ^{0.1}}

Multiply fractions:

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

= \frac{1 \cdot 3}{e ^{0.1}}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{3}{e ^{0.1}}

e^{0.1} = 1.10517 \dots

= \frac{3}{1.10517 \dots}

Divide the numbers:

\frac{3}{1.10517 \dots} = 2.71451 \dots

= 2.71451 \dots

400 (4.8 \cdot 1 0^{- 5})

0.055 \cdot 1 0^{- 6}

7365 (1 + \frac{0.08}{12})^{- 18}