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Popular >

simplify 68e^{-0.065*6/12}

Solution

simplify

68 e^{- 0.065 \cdot \frac{6}{12}}

Solution

65.82552 \dots

Solution steps

68 e^{- 0.065 \cdot \frac{6}{12}}

Apply exponent rule:

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

= 68 \cdot \frac{1}{e ^{0.065 \cdot \frac{6}{12}}}

\frac{1}{e ^{0.065 \cdot \frac{6}{12}}} = \frac{1}{e ^{0.0325}}

= 68 \cdot \frac{1}{e ^{0.0325}}

Multiply fractions:

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

= \frac{1 \cdot 68}{e ^{0.0325}}

Multiply the numbers:

1 \cdot 68 = 68

= \frac{68}{e ^{0.0325}}

e^{0.0325} = 1.03303 \dots

= \frac{68}{1.03303 \dots}

Divide the numbers:

\frac{68}{1.03303 \dots} = 65.82552 \dots

= 65.82552 \dots

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Frequently Asked Questions (FAQ)

What is 68e^{-0.065*6/12} ?
The solution to 68e^{-0.065*6/12} is 65.82552…