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Popular >

simplify e^{-3(-2)}

Solution

simplify

e^{- 3 (- 2)}

Solution

e^{6}

+1

Solution steps

e^{- 3 (- 2)}

Apply exponent rule:

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

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

Remove parentheses:

(- a) = - a

= \frac{1}{e ^{- 3 \cdot 2}}

Multiply the numbers:

3 \cdot 2 = 6

= \frac{1}{e ^{- 6}}

Apply exponent rule:

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

e^{- 6} = \frac{1}{e ^{6}}

= \frac{1}{\frac{1}{e ^{6}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{e ^{6}}{1}

Apply the fraction rule:

\frac{a}{1} = a

= e^{6}

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Frequently Asked Questions (FAQ)

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