What is e^{(-1)}(6(-1)+6(-1)^2+(-1)^3) ?

The solution to e^{(-1)}(6(-1)+6(-1)^2+(-1)^3) is -1/e

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simplify e^{(-1)}(6(-1)+6(-1)^2+(-1)^3)

simplify

e^{(- 1)} (6 (- 1) + 6 (- 1)^{2} + (- 1)^{3})

- \frac{1}{e}

Decimal Notation

- 0.36787 \dots

Solution steps

e^{(- 1)} (6 (- 1) + 6 (- 1)^{2} + (- 1)^{3})

Apply exponent rule:

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

= \frac{1}{e} ((- 1)^{3} + (- 1)^{2} \cdot 6 + 6 (- 1))

Remove parentheses:

(- a) = - a

= \frac{1}{e} (- 6 \cdot 1 + 6 (- 1)^{2} + (- 1)^{3})

6 \cdot 1 = 6

6 (- 1)^{2} = 6

(- 1)^{3} = - 1

= \frac{1}{e} (6 - 6 - 1)

Add/Subtract the numbers:

- 6 + 6 - 1 = - 1

= (- 1) \frac{1}{e}

Remove parentheses:

(- a) = - a

= - \frac{1}{e} \cdot 1

Multiply:

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

= - \frac{1}{e}

\frac{1}{2}

(\frac{9}{8})^{4}

(e^{x} - 1)^{- 2}

8.1 \cdot 1 0^{- 4}

5 \cdot x

What is e^{(-1)}(6(-1)+6(-1)^2+(-1)^3) ?
The solution to e^{(-1)}(6(-1)+6(-1)^2+(-1)^3) is -1/e