What is 10e^{-5000}*20e^{-5000} ?

The solution to 10e^{-5000}*20e^{-5000} is (200)/(e^{10000)}

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simplify 10e^{-5000}*20e^{-5000}

simplify

10 e^{- 5000} \cdot 20 e^{- 5000}

\frac{200}{e ^{10000}}

Solution steps

10 e^{- 5000} \cdot 20 e^{- 5000}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{- 5000} e^{- 5000} = e^{- 5000 - 5000}

= 10 \cdot 20 e^{- 5000 - 5000}

Subtract the numbers:

- 5000 - 5000 = - 10000

= 10 \cdot 20 e^{- 10000}

Apply exponent rule:

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

e^{- 10000} = \frac{1}{e ^{10000}}

= 10 \cdot 20 \cdot \frac{1}{e ^{10000}}

Multiply fractions:

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

= \frac{1 \cdot 10 \cdot 20}{e ^{10000}}

Multiply the numbers:

1 \cdot 10 \cdot 20 = 200

= \frac{200}{e ^{10000}}

- 1200 (1 + 0.11)^{- 1}

0.432 \cdot 6.022 \cdot 1 0^{- 23}

7^{2} \cdot 6^{2}

- 1200 (1 + 0.11)^{- 6}

(4 y) (3 y) (5 y^{2})

What is 10e^{-5000}*20e^{-5000} ?
The solution to 10e^{-5000}*20e^{-5000} is (200)/(e^{10000)}