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Popular >

simplify e^{-1.4*10^{-11}}

Solution

simplify

e^{- 1.4 \cdot 1 0^{- 11}}

Solution

0.99999 \dots

Solution steps

e^{- 1.4 \cdot 1 0^{- 11}}

Apply exponent rule:

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

= \frac{1}{e ^{1 0^{- 11} \cdot 1.4}}

e^{1.4 \cdot 1 0^{- 11}} = e^{1.4 E - 11}

= \frac{1}{e ^{1.4 E - 11}}

e^{1.4 E - 11} = 1.00000 \dots

= \frac{1}{1.00000 \dots}

Divide the numbers:

\frac{1}{1.00000 \dots} = 0.99999 \dots

= 0.99999 \dots

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Frequently Asked Questions (FAQ)

What is e^{-1.4*10^{-11}} ?
The solution to e^{-1.4*10^{-11}} is 0.99999…