What is 3*140000*e^{-3*2} ?

The solution to 3*140000*e^{-3*2} is (420000)/(e^6)

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simplify 3140000e^{-3*2}

simplify

3 \cdot 140000 \cdot e^{- 3 \cdot 2}

\frac{420000}{e ^{6}}

Solution steps

3 \cdot 140000 e^{- 3 \cdot 2}

Apply exponent rule:

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

= 3 \cdot 140000 \cdot \frac{1}{e ^{3 \cdot 2}}

Multiply the numbers:

3 \cdot 2 = 6

= 3 \cdot 140000 \cdot \frac{1}{e ^{6}}

Multiply fractions:

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

= \frac{1 \cdot 3 \cdot 140000}{e ^{6}}

Multiply the numbers:

1 \cdot 3 \cdot 140000 = 420000

= \frac{420000}{e ^{6}}

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