simplify 2e^{-2*3}

Solution

simplify

2 e^{- 2 \cdot 3}

\frac{2}{e ^{6}}

Decimal Notation

0.00495 \dots

Solution steps

2 e^{- 2 \cdot 3}

Apply exponent rule:

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

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

Multiply the numbers:

2 \cdot 3 = 6

= 2 \cdot \frac{1}{e ^{6}}

Multiply fractions:

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

= \frac{1 \cdot 2}{e ^{6}}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{2}{e ^{6}}

e^{- 42.43}

- 9 x^{2} \cdot (5 - x^{3})^{2}

e^{- 0.8 5^{2}}

(2 x^{2}) (2 x)