RADICALS AND FRACTIONAL EXPONENTS



  1.   3√27   =   3   This  3√27   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  3√8   =    answers

  2.   4√16   =    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 or raised to the 4th power equal 16.
    2 is the answer because 2x2x2x2 =16.   Or 24 = 16

  3. 2√16  = 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   √16  = 4   What does:   √36  =   answers

  4. Radicals can be written with fractional exponents instead of radical signs.
    So   4√16  can be written   16 1/4    3√8  can be written 81/3  The answers will be the same!

  5. 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 

  6. Review rules of whole number exponents. review

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