What is 1625e^{-1000(0.01)}(0.01)^2 ?

The solution to 1625e^{-1000(0.01)}(0.01)^2 is 7.37749E-6

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simplify 1625e^{-1000(0.01)}(0.01)^2

simplify

1625 e^{- 1000 (0.01)} (0.01)^{2}

7.37749 E - 6

Solution steps

1625 e^{- 1000 (0.01)} (0.01)^{2}

Apply exponent rule:

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

= 1625 \cdot 0.0 1^{2} \cdot \frac{1}{e ^{1000 \cdot 0.01}}

Multiply the numbers:

1000 \cdot 0.01 = 10

= 1625 \cdot 0.0 1^{2} \cdot \frac{1}{e ^{10}}

Multiply fractions:

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

= \frac{1 \cdot 1625 \cdot 0.0 1 ^{2}}{e ^{10}}

Multiply the numbers:

1 \cdot 1625 = 1625

= \frac{1625 \cdot 0.0 1 ^{2}}{e ^{10}}

1625 \cdot 0.0 1^{2} = 0.1625

= \frac{0.1625}{e ^{10}}

Convert element to a decimal form

e^{10} = 22026.46579 \dots

= \frac{0.1625}{22026.46579 \dots}

Divide the numbers:

\frac{0.1625}{22026.46579 \dots} = 7.37749 E - 6

= 7.37749 E - 6

x^{3}^{^{'}}

e^{4 x} e^{5 x}

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

(a^{2} b) (4 b^{2})

What is 1625e^{-1000(0.01)}(0.01)^2 ?
The solution to 1625e^{-1000(0.01)}(0.01)^2 is 7.37749E-6