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Popular >

simplify e^{500t}*e^{-500t}

Solution

simplify

e^{500 t} \cdot e^{- 500 t}

Solution

1

Solution steps

e^{500 t} e^{- 500 t}

Apply exponent rule:

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

e^{500 t} e^{- 500 t} = e^{500 t - 500 t}

= e^{500 t - 500 t}

Add similar elements:

500 t - 500 t = 0

= e^{0}

Apply rule

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

= 1

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Frequently Asked Questions (FAQ)

What is e^{500t}*e^{-500t} ?
The solution to e^{500t}*e^{-500t} is 1