simplify 100*e^{-4}

Solution

simplify

100 \cdot e^{- 4}

\frac{100}{e ^{4}}

Decimal Notation

1.83156 \dots

Solution steps

100 e^{- 4}

Apply exponent rule:

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

= 100 \cdot \frac{1}{e ^{4}}

Multiply fractions:

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

= \frac{1 \cdot 100}{e ^{4}}

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100}{e ^{4}}

\frac{3 ^{n}}{4 ^{n}}

(e^{- 5 t})^{2}

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

e^{- c o s (x + y)}

\frac{1}{π} \times e^{- x^{2}}