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Popular >

simplify 2(2)e^{-2}

Solution

simplify

2 (2) e^{- 2}

Solution

\frac{4}{e ^{2}}

+1

Decimal Notation

0.54134 \dots

Solution steps

2 (2) e^{- 2}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

2 \cdot 2 = 2^{1 + 1}

= 2^{1 + 1} e^{- 2}

Add the numbers:

1 + 1 = 2

= 2^{2} e^{- 2}

Apply exponent rule:

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

e^{- 2} = \frac{1}{e ^{2}}

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

Multiply fractions:

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

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

Multiply:

1 \cdot 2^{2} = 2^{2}

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

2^{2} = 4

= \frac{4}{e ^{2}}

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Frequently Asked Questions (FAQ)

What is 2(2)e^{-2} ?
The solution to 2(2)e^{-2} is 4/(e^2)