What is 2000e^{-0.06(3)} ?

The solution to 2000e^{-0.06(3)} is 1670.54042…

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simplify 2000e^{-0.06(3)}

simplify

2000 e^{- 0.06 (3)}

1670.54042 \dots

Solution steps

2000 e^{- 0.06 (3)}

Apply exponent rule:

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

= 2000 \cdot \frac{1}{e ^{3 \cdot 0.06}}

Multiply the numbers:

0.06 \cdot 3 = 0.18

= 2000 \cdot \frac{1}{e ^{0.18}}

Multiply fractions:

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

= \frac{1 \cdot 2000}{e ^{0.18}}

Multiply the numbers:

1 \cdot 2000 = 2000

= \frac{2000}{e ^{0.18}}

e^{0.18} = 1.19721 \dots

= \frac{2000}{1.19721 \dots}

Divide the numbers:

\frac{2000}{1.19721 \dots} = 1670.54042 \dots

= 1670.54042 \dots

π^{- \frac{1}{4}}

- 2.18 \cdot 1 0^{- 18} (\frac{1}{1 ^{2}} - \frac{1}{3 ^{2}})

3 \cdot x^{2} + 1

x^{2} \cdot (x + 1)^{2}

\frac{5}{14}