What is 10000e^{-0.1t} ?

The solution to 10000e^{-0.1t} is (10000)/(e^{0.1t)}

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simplify 10000e^{-0.1t}

simplify

10000 e^{- 0.1 t}

\frac{10000}{e ^{0.1 t}}

Solution steps

10000 e^{- 0.1 t}

Apply exponent rule:

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

= 10000 \cdot \frac{1}{e ^{0.1 t}}

Multiply fractions:

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

= \frac{1 \cdot 10000}{e ^{0.1 t}}

Multiply the numbers:

1 \cdot 10000 = 10000

= \frac{10000}{e ^{0.1 t}}

(\frac{1}{2} v^{2}) v^{2}

h^{2} o \Rightarrow o^{3}

e^{- 0.0435}

2 e^{- y} (- e^{- y})

e^{- 2 \cdot t}