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Popular >

simplify e^{-5y^2}*e^{5y^2}

Solution

simplify

e^{- 5 y^{2}} \cdot e^{5 y^{2}}

Solution

1

Solution steps

e^{- 5 y^{2}} e^{5 y^{2}}

Apply exponent rule:

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

e^{- 5 y^{2}} e^{5 y^{2}} = e^{- 5 y^{2} + 5 y^{2}}

= e^{- 5 y^{2} + 5 y^{2}}

Add similar elements:

- 5 y^{2} + 5 y^{2} = 0

= e^{0}

Apply rule

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

= 1

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Frequently Asked Questions (FAQ)

What is e^{-5y^2}*e^{5y^2} ?
The solution to e^{-5y^2}*e^{5y^2} is 1