simplify (3)e^{-2}

Solution

simplify

(3) e^{- 2}

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

Decimal Notation

0.40600 \dots

Solution steps

(3) e^{- 2}

Apply exponent rule:

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

= 3 \cdot \frac{1}{e ^{2}}

Multiply fractions:

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

= \frac{1 \cdot 3}{e ^{2}}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{3}{e ^{2}}

e^{- 4} \cdot 4^{0}

10 e^{- 0.256 (5)}

6 x^{2} y^{2} (2 x - 3 y^{2})

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

16 x^{4} y^{4}