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Popular >

simplify 1.5e^{-0.05*3/12}

Solution

simplify

1.5 e^{- 0.05 \cdot \frac{3}{12}}

Solution

1.48136 \dots

Solution steps

1.5 e^{- 0.05 \cdot \frac{3}{12}}

Apply exponent rule:

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

= 1.5 \cdot \frac{1}{e ^{0.05 \cdot \frac{3}{12}}}

\frac{1}{e ^{0.05 \cdot \frac{3}{12}}} = \frac{1}{e ^{0.0125}}

= 1.5 \cdot \frac{1}{e ^{0.0125}}

Multiply fractions:

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

= \frac{1 \cdot 1.5}{e ^{0.0125}}

Multiply the numbers:

1 \cdot 1.5 = 1.5

= \frac{1.5}{e ^{0.0125}}

e^{0.0125} = 1.01257 \dots

= \frac{1.5}{1.01257 \dots}

Divide the numbers:

\frac{1.5}{1.01257 \dots} = 1.48136 \dots

= 1.48136 \dots

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Frequently Asked Questions (FAQ)

What is 1.5e^{-0.05*3/12} ?
The solution to 1.5e^{-0.05*3/12} is 1.48136…