simplify 3e^{-3*14}

Solution

simplify

3 e^{- 3 \cdot 14}

\frac{3}{e ^{42}}

Decimal Notation

1.72486 E - 18

Solution steps

3 e^{- 3 \cdot 14}

Apply exponent rule:

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

= 3 \cdot \frac{1}{e ^{3 \cdot 14}}

Multiply the numbers:

3 \cdot 14 = 42

= 3 \cdot \frac{1}{e ^{42}}

Multiply fractions:

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

= \frac{1 \cdot 3}{e ^{42}}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{3}{e ^{42}}

50 e^{- 0.34657 \cdot 4}

x e^{- 3 x} (3 x e^{3 x})

\frac{e ^{3 x}}{e ^{7 x}}