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Popular >

simplify-e^{-a(-1)}

Solution

simplify

- e^{- a (- 1)}

Solution

- e^{a}

Solution steps

- e^{- a (- 1)}

Apply exponent rule:

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

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

Remove parentheses:

(- a) = - a

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

Multiply:

a \cdot 1 = a

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

Apply exponent rule:

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

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

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

Apply the fraction rule:

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

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

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

Apply the fraction rule:

\frac{a}{1} = a

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

= - e^{a}

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Frequently Asked Questions (FAQ)

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