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Popular >

simplify e^{-0.06(1.12^{10}-1)}

Solution

simplify

e^{- 0.06 (1.1 2^{10} - 1)}

Solution

0.88130 \dots

Solution steps

e^{- 0.06 (1.1 2^{10} - 1)}

Apply exponent rule:

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

= \frac{1}{e ^{0.06 (1.1 2^{10} - 1)}}

e^{0.06 (1.1 2^{10} - 1)} = e^{0.12635 \dots}

= \frac{1}{e ^{0.12635 \dots}}

e^{0.12635 \dots} = 1.13468 \dots

= \frac{1}{1.13468 \dots}

Divide the numbers:

\frac{1}{1.13468 \dots} = 0.88130 \dots

= 0.88130 \dots

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Frequently Asked Questions (FAQ)

What is e^{-0.06(1.12^{10}-1)} ?
The solution to e^{-0.06(1.12^{10}-1)} is 0.88130…