Mathematics, 03.10.2019 05:00, villatoroo84502
Rewrite the rational exponent as a radical by extending the properties of integer exponents
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Answers: 1
![\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \\ \sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}} \\\quad \\\\ % rational negative exponent a^{-\frac{{ n}}{{ m}}} = \cfrac{1}{a^{\frac{{ n}}{{ m}}}} \implies \cfrac{1}{\sqrt[{ m}]{a^{ n}}}\qquad \\\\\\ % radical denominator \cfrac{1}{\sqrt[{ m}]{a^{ n}}}= \cfrac{1}{a^{\frac{{ n}}{{ m}}}}\implies a^{-\frac{{ n}}{{ m}}}](/tpl/images/0285/3707/c35c3.png)
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Rewrite the rational exponent as a radical by extending the properties of integer exponents
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