1 College Algebra K/DC Friday, 09 October 2015 OBJECTIVE TSW reduce and simplify expressions with rational exponents. (Students will receive their own exponents chart.) ASSIGNMENT DUE (wire basket) –Sec. R.5: p. 47 (1-6 all, odd) ASSIGNMENT DUE TUESDAY, 10/13/2015 –Sec. R.5: p. 48 (41-55 odd, odd) TODAY’S ASSIGNMENT (due Wed/Thur, 15/16 Oct) –Sec. R.6: p. 56 (3-35 all)  Do not use a calculator! –WS Sec. R.5 QUIZ: Sec. R.5 on Wed/Thur, 10/14-10/15  with calculator

R5 - 2 Class Problems (10/07/15): Sec. R.5 Due in 15 minutes. (Write the problem and solve.)  wire basket Determine the domain Write in lowest terms Find each product or quotient. 5.6.

3 College Algebra K/DC Friday, 09 October 2015 OBJECTIVE TSW reduce and simplify expressions with rational exponents. (Students will receive their own exponents chart.) ASSIGNMENT DUE (wire basket) –Sec. R.5: p. 47 (1-6 all, odd) ASSIGNMENT DUE TUESDAY, 10/13/2015 –Sec. R.5: p. 48 (41-55 odd, odd) TODAY’S ASSIGNMENT (due Wed/Thur, 15/16 Oct) –Sec. R.6: p. 56 (3-35 all)  Do not use a calculator! –WS Sec. R.5 QUIZ: Sec. R.5 on Wed/Thur, 10/14-10/15  with calculator

R-4 Rational Exponents R.6 Negative Exponents and the Quotient Rule NOTE: In this section, no calculators will be used, and no negative exponents will be left in answers!

R-5 Rules of Exponents When working with exponents, remember ORDER OF OPERATIONS!!! Product Rule Negative Exponent Rule Quotient Rule Power Rules Do not leave negative exponents in your answer. Zero Exponent Rule

R-6 Using the Definition of a Negative Exponent Evaluate each expression. Leave no negative exponents in the answer! (a) (b) (c)

R-7 Using the Definition of a Negative Exponent Write the expression without negative exponents. (d) (e)

Using the Quotient Rule Simplify each expression. Leave no negative exponents in the answer. (a) (b) (c) (d)

R-9 Using Rules for Exponents Simplify. Leave no negative exponents in the answer.

R-10 Using Rules for Exponents

Simplify. Leave no negative exponents in the answer. Using Rules for Exponents

R-12 Assignment Sec. R.6: p. 56 (3-35 all) –WRITE THE PROBLEM and solve. –Due Wednesday/Thursday, 14/15 October WS Sec. R.5 –This is what Wednesday’s/Thursday’s quiz will cover. –Due Wednesday/Thursday, 14/15 October 2015.

Due on Wednesday/Thursday, 14/15 October Assignment: Sec. R.6: p. 56 (3-35 all) Due on Wednesday/Thursday, 14/15 October Copy the problem and write with only positive exponents. Evaluate if possible. Copy the problem and perform the indicated operations. Write each answer with only positive exponents.

Due on Wednesday/Thursday, 14/15 October Assignment: Sec. R.6: p. 56 (3-35 all) Due on Wednesday/Thursday, 14/15 October Copy the problem and perform the indicated operations. Write each answer with only positive exponents.

15 College Algebra K/DC Tuesday, 13 October 2015 OBJECTIVE TSW reduce and simplify expressions with rational exponents. (Students will receive their own exponents chart.) ASSIGNMENT DUE (wire basket) –Sec. R.5: p. 48 (41-55 odd, odd) TODAY’S ASSIGNMENT (due tomorrow/Thursday) –Sec. R.6: pp (49-72 all) ASSIGNMENTS DUE TOMORROW/THURSDAY –Sec. R.6: p. 56 (3-35 all)  Do not use a calculator! –WS Sec. R.5 –Sec. R.6: pp (49-72 all) QUIZ: Sec. R.5 tomorrow/Thursday  with calculator

R Rational Exponents R.6 Rational Exponents

R The Expression a 1/ n If n is an even positive integer and a > 0, then a 1/n is the positive nth root of a. If n is an odd positive integer and a is any nonzero real number, then a 1/n is positive or negative.

R Using the Definition of a 1/n Evaluate each expression. (a) (b) (c) (d) (e) (f) (g) (h) not a real number

R The Expression a m / n For all integers m, all positive integers n, and all real numbers a for which a 1/n is a real number,

R Using the Definition of a m/n Evaluate each expression. (a)(b)(c)

R Using the Definition of a m/n Evaluate each expression. (d) (e) (f) is not a real number because is not a real number.

R Combining the Definitions and Rules for Exponents Simplify each expression. (a) (b)(c)

Due tomorrow/Thursday Assignment: Sec. R.6: pp (49-72 all) Due tomorrow/Thursday Copy the problem and perform the indicated operations. Write each answer with only positive exponents. No calculator!!!