Exponential form to Radical form
[tex]1.(26) \frac{1}{4} = [/tex]
[tex]2.(5a^{3} b^{2}) \frac{2}{3} = [/tex]
[tex]3. \frac{3}{ \sqrt[7]{4b^{4} } } = [/tex]
[tex]1.(26) \frac{1}{4} = [/tex]
[tex]2.(5a^{3} b^{2}) \frac{2}{3} = [/tex]
[tex]3. \frac{3}{ \sqrt[7]{4b^{4} } } = [/tex]
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FRACTIONAL EXPONENTS AND RADICALS
[tex]__________________________[/tex]
The numerator of the fractional exponent is the exponent of the radicand while the denominator of the fractional exponent is the index of the radical.
[tex]\sf 1.) \: {26}^{ \frac{1}{4} } = \boxed{ \sf \sqrt[4]{26} }[/tex]
[tex]\sf 2.) \: {(5a^{3} {b}^{2} ) }^{ \frac{2}{3} } = \boxed{\sf \sqrt[3]{(5a^{3} {b}^{2})^{2} } }[/tex]
[tex]\sf 3.) \: \frac{3}{ \sqrt{ {4b}^{4} } } = \boxed{ \sf \frac{3}{(4b^{4})^{ \frac{1}{2} } }}[/tex]