What is 8000*e^{-0.2(2)} ?

The solution to 8000*e^{-0.2(2)} is 5362.56036…

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simplify 8000*e^{-0.2(2)}

simplify

8000 \cdot e^{- 0.2 (2)}

5362.56036 \dots

Solution steps

8000 e^{- 0.2 (2)}

Apply exponent rule:

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

= 8000 \cdot \frac{1}{e ^{2 \cdot 0.2}}

Multiply the numbers:

0.2 \cdot 2 = 0.4

= 8000 \cdot \frac{1}{e ^{0.4}}

Multiply fractions:

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

= \frac{1 \cdot 8000}{e ^{0.4}}

Multiply the numbers:

1 \cdot 8000 = 8000

= \frac{8000}{e ^{0.4}}

e^{0.4} = 1.49182 \dots

= \frac{8000}{1.49182 \dots}

Divide the numbers:

\frac{8000}{1.49182 \dots} = 5362.56036 \dots

= 5362.56036 \dots

1 0^{- l o g_{10} (3)}

2 e^{- 2 x} \cdot e^{x}

\frac{5 x ^{2} - 80}{x ^{2} - 36}

10.1 \cdot 1 0^{- 3}