simplify 10e^{-10}

Solution

simplify

10 e^{- 10}

\frac{10}{e ^{10}}

Decimal Notation

0.00045 \dots

Solution steps

10 e^{- 10}

Apply exponent rule:

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

= 10 \cdot \frac{1}{e ^{10}}

Multiply fractions:

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

= \frac{1 \cdot 10}{e ^{10}}

Multiply the numbers:

1 \cdot 10 = 10

= \frac{10}{e ^{10}}

(1 + e^{x})^{- 1}

x^{2} e^{- x^{3}}

\frac{( x + 1 ) ^{4}}{x ^{4}}

- \frac{1}{2} e^{- 2 (1)}

(x - 5)^{2} (x + 5)^{2}