What is e^{-bx^2}*e^{-bx^2} ?

The solution to e^{-bx^2}*e^{-bx^2} is e^{-2bx^2}

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

simplify

e^{- b x^{2}} \cdot e^{- b x^{2}}

e^{- 2 b x^{2}}

Solution steps

e^{- b x^{2}} e^{- b x^{2}}

Apply exponent rule:

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

e^{- b x^{2}} e^{- b x^{2}} = e^{- b x^{2} - b x^{2}}

= e^{- b x^{2} - b x^{2}}

Add similar elements:

- b x^{2} - b x^{2} = - 2 b x^{2}

= e^{- 2 b x^{2}}

40 \cdot 9.8 \frac{m}{s ^{2}} \cdot 31 \cdot 1 0^{- 1}

(3 m n^{4}) (7 k^{2} m^{3} n^{7})

9.81 x 1 0^{- 4}