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Popular >

simplify 3(-1)^3e^{-1}

Solution

simplify

3 (- 1)^{3} e^{- 1}

Solution

- \frac{3}{e}

+1

Solution steps

3 (- 1)^{3} e^{- 1}

Apply exponent rule:

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

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

(- 1)^{3} = - 1

= 3 (- 1) \frac{1}{e}

Remove parentheses:

(- a) = - a

= - 3 \cdot 1 \cdot \frac{1}{e}

Multiply fractions:

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

= - 1 \cdot \frac{1 \cdot 3}{e}

Multiply the numbers:

1 \cdot 3 = 3

= - 1 \cdot \frac{3}{e}

Multiply:

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

= - \frac{3}{e}

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Frequently Asked Questions (FAQ)

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