What is e^{(-(1))}(((1)^2+4(1)+6))/(1^4) ?

The solution to e^{(-(1))}(((1)^2+4(1)+6))/(1^4) is (11)/e

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simplify e^{(-(1))}(((1)^2+4(1)+6))/(1^4)

simplify

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

\frac{11}{e}

Decimal Notation

4.04667 \dots

Solution steps

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

Apply exponent rule:

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

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

Apply rule

1^{a} = 1

1^{2} = 1, 1^{4} = 1

= \frac{1}{e} \cdot \frac{1 + 4 \cdot 1 + 6}{1}

Multiply fractions:

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

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

Cancel the common factor:

1

= \frac{1 + 4 \cdot 1 + 6}{e}

1 + 4 \cdot 1 + 6 = 11

= \frac{11}{e}

[- 1.1] \frac{x ^{2}}{( x ^{3} + 3 ) ^{2}}

800 e^{- 0.0244 (55)}

15 e^{- 0.15 (4)}

e^{- 0.00043}

33

What is e^{(-(1))}(((1)^2+4(1)+6))/(1^4) ?
The solution to e^{(-(1))}(((1)^2+4(1)+6))/(1^4) is (11)/e