What is 1000e^{-0.022(10)} ?

The solution to 1000e^{-0.022(10)} is 802.51879…

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simplify 1000e^{-0.022(10)}

simplify

1000 e^{- 0.022 (10)}

802.51879 \dots

Solution steps

1000 e^{- 0.022 (10)}

Apply exponent rule:

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

= 1000 \cdot \frac{1}{e ^{10 \cdot 0.022}}

Multiply the numbers:

0.022 \cdot 10 = 0.22

= 1000 \cdot \frac{1}{e ^{0.22}}

Multiply fractions:

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

= \frac{1 \cdot 1000}{e ^{0.22}}

Multiply the numbers:

1 \cdot 1000 = 1000

= \frac{1000}{e ^{0.22}}

e^{0.22} = 1.24607 \dots

= \frac{1000}{1.24607 \dots}

Divide the numbers:

\frac{1000}{1.24607 \dots} = 802.51879 \dots

= 802.51879 \dots

(1.8 \cdot 1 0^{- 5}) \cdot (0.2 - x)

e^{- 3 \cdot 3}

\frac{- 3.84 \cdot 1 0 ^{- 4}}{64} \cdot (e^{- \frac{448}{64}})