simplify 5e^{-2}

Solution

simplify

5 e^{- 2}

\frac{5}{e ^{2}}

Decimal Notation

0.67667 \dots

Solution steps

5 e^{- 2}

Apply exponent rule:

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

= 5 \cdot \frac{1}{e ^{2}}

Multiply fractions:

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

= \frac{1 \cdot 5}{e ^{2}}

Multiply the numbers:

1 \cdot 5 = 5

= \frac{5}{e ^{2}}

e^{- x} \cdot (- 2) e^{- 2 x}

e^{- (x^{2} + y^{2})}

\frac{a}{b}

- 10 x^{3} y^{2} (9 x)

e^{- 0.16}