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Popular >

simplify e^{-2(-1)}

Solution

simplify

e^{- 2 (- 1)}

Solution

e^{2}

+1

Decimal Notation

7.38905 \dots

Solution steps

e^{- 2 (- 1)}

Apply exponent rule:

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

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

Remove parentheses:

(- a) = - a

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

Multiply the numbers:

2 \cdot 1 = 2

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

Apply exponent rule:

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

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

= \frac{1}{\frac{1}{e ^{2}}}

Apply the fraction rule:

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

= \frac{e ^{2}}{1}

Apply the fraction rule:

\frac{a}{1} = a

= e^{2}

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Frequently Asked Questions (FAQ)

What is e^{-2(-1)} ?
The solution to e^{-2(-1)} is e^2