Question

How can the properties of rational exponent be applied to simplify expressions with radicals or rational exponents?

Answer 1

`\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^( n)} \qquad \qquad \sqrt[{ m}]{a^( n)}\implies a^{\frac{{ n}}{{ m}}}\qquad thus\\ ----------------------------\\\\ say\implies \sqrt[6]{216}\implies \sqrt[6]{6^3}\implies 6^{(3)/(6)}\implies 6(1)/(2)\implies √(6)`

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