What is e^{-1.28*(4-4.549)} ?

The solution to e^{-1.28*(4-4.549)} is 2.01923…

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simplify e^{-1.28*(4-4.549)}

simplify

e^{- 1.28 \cdot (4 - 4.549)}

2.01923 \dots

Solution steps

e^{- 1.28 (4 - 4.549)}

Apply exponent rule:

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

= \frac{1}{e ^{1.28 (4 - 4.549)}}

e^{1.28 (4 - 4.549)} = e^{- 0.70272}

= \frac{1}{e ^{- 0.70272}}

Apply exponent rule:

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

e^{- 0.70272} = \frac{1}{e ^{0.70272}}

= \frac{1}{\frac{1}{e ^{0.70272}}}

Apply the fraction rule:

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

= \frac{e ^{0.70272}}{1}

Apply the fraction rule:

\frac{a}{1} = a

= e^{0.70272}

e^{0.70272} = 2.01923 \dots

= 2.01923 \dots

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