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Popular >

simplify 11e^{-0.05*6/12}

Solution

simplify

11 e^{- 0.05 \cdot \frac{6}{12}}

Solution

10.72840 \dots

Solution steps

11 e^{- 0.05 \cdot \frac{6}{12}}

Apply exponent rule:

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

= 11 \cdot \frac{1}{e ^{0.05 \cdot \frac{6}{12}}}

\frac{1}{e ^{0.05 \cdot \frac{6}{12}}} = \frac{1}{e ^{0.025}}

= 11 \cdot \frac{1}{e ^{0.025}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 11}{e ^{0.025}}

Multiply the numbers:

1 \cdot 11 = 11

= \frac{11}{e ^{0.025}}

e^{0.025} = 1.02531 \dots

= \frac{11}{1.02531 \dots}

Divide the numbers:

\frac{11}{1.02531 \dots} = 10.72840 \dots

= 10.72840 \dots

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Frequently Asked Questions (FAQ)

What is 11e^{-0.05*6/12} ?
The solution to 11e^{-0.05*6/12} is 10.72840…