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Popular >

simplify 3e^w*(-2)e^{-w}

Solution

simplify

3 e^{w} \cdot (- 2) e^{- w}

Solution

- 6

Solution steps

3 e^{w} (- 2) e^{- w}

Apply exponent rule:

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

e^{w} e^{- w} = e^{w - w}

= 3 (- 2) e^{w - w}

Add similar elements:

w - w = 0

= 3 (- 2) e^{0}

Apply rule

a^{0} = 1, a \neq = 0

e^{0} = 1

= 3 (- 2) \cdot 1

Remove parentheses:

(- a) = - a

= - 3 \cdot 2 \cdot 1

Multiply the numbers:

3 \cdot 2 \cdot 1 = 6

= - 6

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Frequently Asked Questions (FAQ)

What is 3e^w*(-2)e^{-w} ?
The solution to 3e^w*(-2)e^{-w} is -6