Question

I forgot how to do this

Answer 1

`\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^( n)} \qquad \qquad \sqrt[{ m}]{a^( n)}\implies a^{\frac{{ n}}{{ m}}}\\\\ a^{-{ n}} \implies \cfrac{1}{a^( n)}\qquad \qquad \cfrac{1}{a^( n)}\implies a^{-{ n}}\\\\`


`\bf -----------------------------\\\\ \left( -\cfrac{64}{125} \right)^{-(5)/(3)}\iff \left( -\cfrac{125}{64} \right)^{(5)/(3)}\implies \left[ \left( -\cfrac{125}{64} \right)^{(1)/(3)}\right]^{(5)/(1)} \\\\\\ \left[ \sqrt[3]{\cfrac{-125}{64}} \right]^5\implies \left[ \cfrac{-5}{4} \right]^5\implies \cfrac{(-5)^5}{(4)^5}\implies \cfrac{-3125}{1024}`