What is 140e^{-2500(0.0003)} ?

The solution to 140e^{-2500(0.0003)} is 66.13131…

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simplify 140e^{-2500(0.0003)}

simplify

140 e^{- 2500 (0.0003)}

66.13131 \dots

Solution steps

140 e^{- 2500 (0.0003)}

Apply exponent rule:

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

= 140 \cdot \frac{1}{e ^{2500 \cdot 0.0003}}

Multiply the numbers:

2500 \cdot 0.0003 = 0.75

= 140 \cdot \frac{1}{e ^{0.75}}

Multiply fractions:

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

= \frac{1 \cdot 140}{e ^{0.75}}

Multiply the numbers:

1 \cdot 140 = 140

= \frac{140}{e ^{0.75}}

e^{0.75} = 2.11700 \dots

= \frac{140}{2.11700 \dots}

Divide the numbers:

\frac{140}{2.11700 \dots} = 66.13131 \dots

= 66.13131 \dots

2 (- 3 x^{2} - 5) 0.2 (- 3 x^{2} - 5)

5.8 \cdot 1 0^{- 5}

2 \cdot e^{- \frac{2}{2}}

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

What is 140e^{-2500(0.0003)} ?
The solution to 140e^{-2500(0.0003)} is 66.13131…