simplify 3e^{-0.02}

Solution

simplify

3 e^{- 0.02}

2.94059 \dots

Solution steps

3 e^{- 0.02}

Apply exponent rule:

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

= 3 \cdot \frac{1}{e ^{0.02}}

Multiply fractions:

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

= \frac{1 \cdot 3}{e ^{0.02}}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{3}{e ^{0.02}}

e^{0.02} = 1.02020 \dots

= \frac{3}{1.02020 \dots}

Divide the numbers:

\frac{3}{1.02020 \dots} = 2.94059 \dots

= 2.94059 \dots

\frac{e ^{x}}{e ^{- 2 x}}

- 6^{2}