Radicals and powers with a fractional exponent

Radicals are an equivalent notation for powers with a fractional exponent: $\sqrt[n]{a^m}=a^{m/n}$. This section introduces the structure of a radical (index and argument), the conditions of existence, operations between radicals and the two fundamental techniques for manipulating them: taking factors outside the radical sign and reducing several radicals to the same index.

• The radical and the fractional exponent
• Conditions of existence of radicals
• Operations with radicals
• Taking factors outside the radical sign
• Reducing to the same index