What is e^{-2y^2}*e^{-3y^2} ?

The solution to e^{-2y^2}*e^{-3y^2} is e^{-5y^2}

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simplify e^{-2y^2}*e^{-3y^2}

simplify

e^{- 2 y^{2}} \cdot e^{- 3 y^{2}}

e^{- 5 y^{2}}

Solution steps

e^{- 2 y^{2}} e^{- 3 y^{2}}

Apply exponent rule:

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

e^{- 2 y^{2}} e^{- 3 y^{2}} = e^{- 2 y^{2} - 3 y^{2}}

= e^{- 2 y^{2} - 3 y^{2}}

Add similar elements:

- 2 y^{2} - 3 y^{2} = - 5 y^{2}

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

1.63 \cdot 1 0^{- 3}

1.3 e^{- 0.3 (x)}

1.8 \cdot 10 e^{- 5}

- x^{2} (3 x - 5)^{2}

(1 - x)^{(- 2)}