What is 2e^{-0.03((1.5)/(12))} ?

The solution to 2e^{-0.03((1.5)/(12))} is 1.99251…

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simplify 2e^{-0.03((1.5)/(12))}

simplify

2 e^{- 0.03 (\frac{1.5}{12})}

1.99251 \dots

Solution steps

2 e^{- 0.03 (\frac{1.5}{12})}

Apply exponent rule:

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

= 2 \cdot \frac{1}{e ^{0.03 \cdot \frac{1.5}{12}}}

\frac{1}{e ^{0.03 \cdot \frac{1.5}{12}}} = \frac{1}{e ^{0.00375}}

= 2 \cdot \frac{1}{e ^{0.00375}}

Multiply fractions:

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

= \frac{1 \cdot 2}{e ^{0.00375}}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{2}{e ^{0.00375}}

e^{0.00375} = 1.00375 \dots

= \frac{2}{1.00375 \dots}

Divide the numbers:

\frac{2}{1.00375 \dots} = 1.99251 \dots

= 1.99251 \dots

\frac{d}{d t} (e^{k t})

(2 x^{2} y) (3 x^{5} y)

6.7 \cdot 1 0^{- 5}

What is 2e^{-0.03((1.5)/(12))} ?
The solution to 2e^{-0.03((1.5)/(12))} is 1.99251…