What is 2800e^{-1000(10)}(10)^2 ?

The solution to 2800e^{-1000(10)}(10)^2 is (280000)/(e^{10000)}

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simplify 2800e^{-1000(10)}(10)^2

simplify

2800 e^{- 1000 (10)} (10)^{2}

\frac{280000}{e ^{10000}}

Solution steps

2800 e^{- 1000 (10)} (10)^{2}

Apply exponent rule:

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

= 1 0^{2} \cdot 2800 \cdot \frac{1}{e ^{1000 \cdot 10}}

Multiply the numbers:

1000 \cdot 10 = 10000

= 1 0^{2} \cdot 2800 \cdot \frac{1}{e ^{10000}}

Multiply fractions:

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

= \frac{1 \cdot 2800 \cdot 1 0 ^{2}}{e ^{10000}}

Multiply the numbers:

1 \cdot 2800 = 2800

= \frac{1 0 ^{2} \cdot 2800}{e ^{10000}}

2800 \cdot 1 0^{2} = 280000

= \frac{280000}{e ^{10000}}

1.46 e^{3} \cdot 5.78 e^{8}

3.99 \cdot 1 0^{- 9}

(10 f g^{9}) (8 f g^{4})

(2 y^{7}) (8 y^{4}) (5 y^{6})

(3 a^{2}) 3

What is 2800e^{-1000(10)}(10)^2 ?
The solution to 2800e^{-1000(10)}(10)^2 is (280000)/(e^{10000)}