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 \cdot 10}

802.51879 \dots

Solution steps

1000 e^{- 0.022 \cdot 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

12 \cdot e^{- \frac{22}{( 1 0 ^{6} \cdot 4 \cdot 1 0 ^{- 6} )}}

0.058 \cdot 292674.4 5^{- 0.2}

e^{- 24.36}

(32) (42)

600 e^{- 0.12 (3)}