What is simplify-rae^{-(rln(a))/k}r ?

The solution to simplify-rae^{-(rln(a))/k}r is -a^{-r/k+1}r^2

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simplify-rae^{-(rln(a))/k}r

simplify

- r a e^{- \frac{r l n ( a )}{k}} r

- a^{- \frac{r}{k} + 1} r^{2}

Solution steps

- r a e^{- \frac{r l n ( a )}{k}} r

Apply exponent rule:

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

rr = r^{1 + 1}

= - a e^{- \frac{r l n ( a )}{k}} r^{1 + 1}

Add the numbers:

1 + 1 = 2

= - a e^{- \frac{r l n ( a )}{k}} r^{2}

e^{- \frac{r l n ( a )}{k}} = a^{- \frac{r}{k}}

= - a a^{- \frac{r}{k}} r^{2}

Apply exponent rule:

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

a a^{- \frac{r}{k}} = a^{1 - \frac{r}{k}}

= - a^{1 - \frac{r}{k}} r^{2}

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What is simplify-rae^{-(rln(a))/k}r ?
The solution to simplify-rae^{-(rln(a))/k}r is -a^{-r/k+1}r^2