What is 500e^{-2500(0.1)}(0.1) ?

The solution to 500e^{-2500(0.1)}(0.1) is 1.3346E-107

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simplify 500e^{-2500(0.1)}(0.1)

simplify

500 e^{- 2500 (0.1)} (0.1)

1.3346 E - 107

Solution steps

500 e^{- 2500 (0.1)} (0.1)

Apply exponent rule:

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

= 500 \cdot 0.1 \cdot \frac{1}{e ^{2500 \cdot 0.1}}

Multiply the numbers:

2500 \cdot 0.1 = 250

= 500 \cdot 0.1 \cdot \frac{1}{e ^{250}}

Multiply fractions:

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

= 0.1 \cdot \frac{1 \cdot 500}{e ^{250}}

Multiply the numbers:

1 \cdot 500 = 500

= 0.1 \cdot \frac{500}{e ^{250}}

Multiply fractions:

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

= \frac{500 \cdot 0.1}{e ^{250}}

Multiply the numbers:

500 \cdot 0.1 = 50

= \frac{50}{e ^{250}}

Convert element to a decimal form

e^{250} = 3.74645 E 108

= \frac{50}{3.74645 E 108}

Divide the numbers:

\frac{50}{3.74645 E 108} = 1.3346 E - 107

= 1.3346 E - 107

e^{- \frac{1}{10} \cdot 12}

e^{- l n ((2 + 3)^{\frac{1}{3}})}

e^{- \frac{0}{5}}

What is 500e^{-2500(0.1)}(0.1) ?
The solution to 500e^{-2500(0.1)}(0.1) is 1.3346E-107