6.1 Evaluate n th Roots & use Rational Exponents I.. Evaluating n th roots. A) n th roots are radicals to the n th index. B) Use the Church of Square Roots to simplify, except you will need “n” numbers to make a wedding. Example: = 3 8 = = 2

6.1 Evaluate n th Roots & use Rational Exponents II.. Number of solutions to n th roots. A) If the n th root is even, you will get two answers. 1) One positive, one negative. example: = ±3, = ± 3 B) If the nth root is odd, you will get one answer. 1) If the inside is positive, the answer is positive. 2) If the inside is negative, the answer is negative. example: = +2, = – 2

6.1 Evaluate n th Roots & use Rational Exponents III.. Rational Exponents. A) Rational # is any # that can be written as a fraction. B) Rational exponents are terms that have a fraction for the exponent. C) Rational exponents are another way of writing radicals. 1) The bottom # is the index. (the outside #) 2) The top # is the exponent on the inside #. Example: =

6.1 Evaluate n th Roots & use Rational Exponents IV.. Math with Rational Exponents. A) Write rational exponents in radical form and simplify using the Church of Square Roots method. B) Use the normal exponent rules to simplify rational exponents. 1) if a n a m = add expo. = 2) if (a n ) m = multiply expo. = 3) if = subtract expo. =

6.1 Evaluate n th Roots & use Rational Exponents IV.. Math with Rational Exponents. 4) Negative expo move to the other side of the fraction bar and become positive exponents. a) If a –n = move term. = Homework: page 417 # 3 – 14 all, 21 – 33 odd