What is e^{(-Zr)/a}*e^{(-Zr)/a} ?

The solution to e^{(-Zr)/a}*e^{(-Zr)/a} is e^{-(2Zr)/a}

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simplify e^{(-Zr)/a}*e^{(-Zr)/a}

simplify

e^{\frac{- Z r}{a}} \cdot e^{\frac{- Z r}{a}}

e^{- \frac{2 Z r}{a}}

Solution steps

e^{\frac{- Z r}{a}} e^{\frac{- Z r}{a}}

Apply exponent rule:

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

e^{\frac{- Z r}{a}} e^{\frac{- Z r}{a}} = e^{\frac{- Z r}{a} + \frac{- Z r}{a}}

= e^{\frac{- Z r}{a} + \frac{- Z r}{a}}

Combine the fractions

\frac{- Z r}{a} + \frac{- Z r}{a} : - \frac{2 Z r}{a}

= e^{- \frac{2 Z r}{a}}

2.965 \cdot 1 0^{- 6}

(25) (36)

8.32 \cdot 1 0^{- 11}

(5 r + 4 y - z)^{2} (5 r + 4 y + z)^{2}

8 e^{- 5}

What is e^{(-Zr)/a}*e^{(-Zr)/a} ?
The solution to e^{(-Zr)/a}*e^{(-Zr)/a} is e^{-(2Zr)/a}