FRACTIONAL EXPONENTS AND RADICALS
1. = 3 This symbol tells us to look for a number which when multiplied by itself 3 times will equal 27. We say verbally that we want the cube root of 27. The 3 is called the index and the 27 is the radicand. The symbol is called the radical sign.
What does = answer
2. = 2 The index 4 tells us that we are looking for the fourth root of 16. Meaning that we are looking for a number which when multiplied by itself 4 times equal 16. 2 is the answer because 2x2x2x2 =16.
3. = 4 This is read the square root of 16 is 4. By tradition we do not write the index 2 so the problem will look like this = 4
Radicals can be written with fractional exponents instead of radical signs. So can be written 161/4 , can be written 81/3 The answers will be the same.
All the rules that apply to whole number exponents
must also apply to fractional exponents.
So (t1/5 )(t2/5 ) = t1/5 + 2/5 = t3/5