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Popular >

simplify e^{-2(-2)}

Solution

simplify

e^{- 2 (- 2)}

Solution

e^{4}

+1

Decimal Notation

54.59815 \dots

Solution steps

e^{- 2 (- 2)}

Apply exponent rule:

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

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

Remove parentheses:

(- a) = - a

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

Multiply the numbers:

2 \cdot 2 = 4

= \frac{1}{e ^{- 4}}

Apply exponent rule:

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

e^{- 4} = \frac{1}{e ^{4}}

= \frac{1}{\frac{1}{e ^{4}}}

Apply the fraction rule:

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

= \frac{e ^{4}}{1}

Apply the fraction rule:

\frac{a}{1} = a

= e^{4}

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Frequently Asked Questions (FAQ)

What is e^{-2(-2)} ?
The solution to e^{-2(-2)} is e^4