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Popular >

simplify e^{-gt}*e^{gt}

Solution

simplify

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

Solution

1

Solution steps

e^{- g t} e^{g t}

Apply exponent rule:

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

e^{- g t} e^{g t} = e^{- g t + g t}

= e^{- g t + g t}

Add similar elements:

- g t + g t = 0

= e^{0}

Apply rule

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

= 1

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Frequently Asked Questions (FAQ)

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