[tex]\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad
\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\
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(-1)^{\frac{2}{4}}\implies \sqrt[4]{(-1)^2}\implies \sqrt[4]{(-1)(-1)}\implies \sqrt[4]{1}\qquad \boxed{1^4=1}
\\\\\\
\sqrt[4]{1^4}\implies 1\\\\
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(-1)^{\frac{1}{2}}\implies \sqrt[2]{(-1)^1}\implies \sqrt{-1}\implies i[/tex]
