What is e^{-(95-100)} ?

The solution to e^{-(95-100)} is e^5

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simplify e^{-(95-100)}

simplify

e^{- (95 - 100)}

e^{5}

Decimal Notation

148.41315 \dots

Solution steps

e^{- (95 - 100)}

Apply exponent rule:

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

= \frac{1}{e ^{(95 - 100)}}

Remove parentheses:

(a) = a

= \frac{1}{e ^{95 - 100}}

Subtract the numbers:

95 - 100 = - 5

= \frac{1}{e ^{- 5}}

Apply exponent rule:

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

e^{- 5} = \frac{1}{e ^{5}}

= \frac{1}{\frac{1}{e ^{5}}}

Apply the fraction rule:

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

= \frac{e ^{5}}{1}

Apply the fraction rule:

\frac{a}{1} = a

= e^{5}

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