What is (2+sqrt(2))^2e^{-(2+sqrt(2))} ?

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

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simplify (2+sqrt(2))^2e^{-(2+sqrt(2))}

simplify

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

\frac{6 + 4 2}{e ^{2 + 2}}

Decimal Notation

0.38353 \dots

Solution steps

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

Apply exponent rule:

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

= \frac{1}{e ^{(2 + 2)}} (2 + 2)^{2}

Remove parentheses:

(a) = a

= (2 + 2)^{2} \frac{1}{e ^{2 + 2}}

(2 + 2)^{2} = 6 + 42

= \frac{1}{e ^{2 + 2}} (6 + 42)

Multiply fractions:

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

= \frac{1 \cdot ( 6 + 4 2 )}{e ^{2 + 2}}

1 \cdot (6 + 42) = 6 + 42

= \frac{6 + 4 2}{e ^{2 + 2}}

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(200 (1.1)^{t}) (5000 (1.111)^{t})

What is (2+sqrt(2))^2e^{-(2+sqrt(2))} ?
The solution to (2+sqrt(2))^2e^{-(2+sqrt(2))} is (6+4sqrt(2))/(e^{2+sqrt(2))}