simplify 14e^{-2}

Solution

simplify

14 e^{- 2}

\frac{14}{e ^{2}}

Decimal Notation

1.89469 \dots

Solution steps

14 e^{- 2}

Apply exponent rule:

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

= 14 \cdot \frac{1}{e ^{2}}

Multiply fractions:

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

= \frac{1 \cdot 14}{e ^{2}}

Multiply the numbers:

1 \cdot 14 = 14

= \frac{14}{e ^{2}}

e^{2 t} e^{- 3 \frac{t}{2}}

e^{- 0.31116}

(3.2 \cdot 1 0^{2}) (5 \cdot 1 0^{- 7})

4 π \cdot 1 0^{- 7} \cdot 1.5 \cdot 220

e^{- 0.80578}