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Popular >

simplify 50e^{-0.06*1/12}

Solution

simplify

50 e^{- 0.06 \cdot \frac{1}{12}}

Solution

49.75062 \dots

Solution steps

50 e^{- 0.06 \cdot \frac{1}{12}}

Apply exponent rule:

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

= 50 \cdot \frac{1}{e ^{0.06 \cdot \frac{1}{12}}}

\frac{1}{e ^{0.06 \cdot \frac{1}{12}}} = \frac{1}{e ^{0.005}}

= 50 \cdot \frac{1}{e ^{0.005}}

Multiply fractions:

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

= \frac{1 \cdot 50}{e ^{0.005}}

Multiply the numbers:

1 \cdot 50 = 50

= \frac{50}{e ^{0.005}}

e^{0.005} = 1.00501 \dots

= \frac{50}{1.00501 \dots}

Divide the numbers:

\frac{50}{1.00501 \dots} = 49.75062 \dots

= 49.75062 \dots

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Frequently Asked Questions (FAQ)

What is 50e^{-0.06*1/12} ?
The solution to 50e^{-0.06*1/12} is 49.75062…