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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