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Popular >

simplify e^{-t^2}*e^{t^2}

Solution

simplify

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

Solution

1

Solution steps

e^{- t^{2}} e^{t^{2}}

Apply exponent rule:

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

e^{- t^{2}} e^{t^{2}} = e^{- t^{2} + t^{2}}

= e^{- t^{2} + t^{2}}

Add similar elements:

- t^{2} + t^{2} = 0

= e^{0}

Apply rule

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

= 1

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Frequently Asked Questions (FAQ)

What is e^{-t^2}*e^{t^2} ?
The solution to e^{-t^2}*e^{t^2} is 1