What is e^{-0.05x}*20e^{0.05x} ?

The solution to e^{-0.05x}*20e^{0.05x} is 20

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simplify e^{-0.05x}*20e^{0.05x}

simplify

e^{- 0.05 x} \cdot 20 e^{0.05 x}

20

Solution steps

e^{- 0.05 x} \cdot 20 e^{0.05 x}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{- 0.05 x} e^{0.05 x} = e^{- 0.05 x + 0.05 x}

= 20 e^{- 0.05 x + 0.05 x}

Add similar elements:

- 0.05 x + 0.05 x = 0

= 20 e^{0}

Apply rule

a^{0} = 1, a \neq = 0

e^{0} = 1

= 20 \cdot 1

Multiply the numbers:

20 \cdot 1 = 20

= 20

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

6.61 \cdot 1 0^{- 4}

\frac{( x - 2 ) ^{2}}{( x - 1 ) ^{2}}

\frac{1}{2} \cdot 13.88 \cdot 1200 \cdot \frac{m ^{2}}{s ^{2}}