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1.4  Skill prep assignment

Part 1

Solve the following quadratic equations:

Part 2

Another way to write a radical is as a rational (or fractional) exponent. For example,

another way to write  is  (x+1)^3/2. The numerator of the rational exponent is the exponent on the variable and the denominator of the rational exponent is the index of the radical. Notice, the whole quantity of x+1 is under the radical so there must be parentheses around this quantity. (x+1)^3/2 is not the same thing as x+1^3/2. In the second expression, only the 1 would be under the radical:    

Example 1.         

                           Remember, the index of a square root is a 2.

Example 2.         

                           Remember, when you don’t see an exponent, the exponent is a 1.

NOTE:   Don’t forget that the exponent outside the parentheses CANNOT be

          distributed through.

A.   Switch the following radicals into rational exponents.

1.                                2.                                   3.   

4.                              5.                                      6.    

B.   Switch the following rational exponents into radicals.

Example 3.        

7.                               8.                                  9.   

10.                          11.                               12.   

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