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Popular >

simplify e^{-3(-1)}

Solution

simplify

e^{- 3 (- 1)}

Solution

e^{3}

+1

Decimal Notation

20.08553 \dots

Solution steps

e^{- 3 (- 1)}

Apply exponent rule:

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

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

Remove parentheses:

(- a) = - a

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

Multiply the numbers:

3 \cdot 1 = 3

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

Apply exponent rule:

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

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

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

Apply the fraction rule:

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

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

Apply the fraction rule:

\frac{a}{1} = a

= e^{3}

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(23) (35)

Frequently Asked Questions (FAQ)

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