Mathematics, 30.07.2019 16:30 genyjoannerubiera
Explain the difference between the following two expressions. (-1)^2/4 and (-1)^1/2
Answers: 1
![\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad \sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\ -------------------------------\\\\ (-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\\\\ -------------------------------\\\\ (-1)^{\frac{1}{2}}\implies \sqrt[2]{(-1)^1}\implies \sqrt{-1}\implies i](/tpl/images/0151/1286/54903.png)
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Explain the difference between the following two expressions. (-1)^2/4 and (-1)^1/2...
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