What is 3e^{-2(2)}(2) ?

The solution to 3e^{-2(2)}(2) is 6/(e^4)

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simplify 3e^{-2(2)}(2)

simplify

3 e^{- 2 (2)} (2)

\frac{6}{e ^{4}}

Decimal Notation

0.10989 \dots

Solution steps

3 e^{- 2 (2)} (2)

Apply exponent rule:

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

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

Multiply the numbers:

2 \cdot 2 = 4

= 3 \cdot 2 \cdot \frac{1}{e ^{4}}

Multiply fractions:

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

= \frac{1 \cdot 3 \cdot 2}{e ^{4}}

Multiply the numbers:

1 \cdot 3 \cdot 2 = 6

= \frac{6}{e ^{4}}

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

1.72 \cdot 1 0^{- 1}

2.57 \cdot 1 0^{- 5}

3 x^{3} (2 x^{2 y}) 4^{x^{2} y}

3 (3 e^{3 x} cos (2 x))