1. 7-1 MULTIPLYING MONOMIALS JANEA MILLER & KENTRELL RABON

2. HOW TO DO IDENTIFY MONOMIALS IS THIS EXPRESSION A MONOMIAL? 20 YES, 20 IS A REAL NUMBER AND AN EXAMPLE OF A CONSTANT *NOTE: A MONOMIAL THAT ARE REAL NUMBERS ARE CALLED CONSTANT

3. HOW TO DO IS N A MONOMIAL? YES, A SINGLE VARIABLE IS A MONOMIAL YES, A SINGLE VARIABLE IS A MONOMIAL IS 4N+5M A MONOMIAL? IS 4N+5M A MONOMIAL? NO, 4N+5M SHOWS ADDITION, NOT MULTIPLICATION OF VARIABLES NO, 4N+5M SHOWS ADDITION, NOT MULTIPLICATION OF VARIABLES IS 4X 3 A MONOMAIL? IS 4X 3 A MONOMAIL? YES, 4X 3 IS THE PRODUCT OF A NUMBER AND THREE VARIABLES YES, 4X 3 IS THE PRODUCT OF A NUMBER AND THREE VARIABLES

4. EXAMPLES (2+4) 2 6 2 36 2+4 2 2+4 2 2+16 18 Do what is in parenthesis first, then use the exponents and then simplify Do what is in parenthesis first, then use the exponents and then simplify *NOTE: be careful when *NOTE: be careful when using parenthesis you might get a different answer. Exponents first,then add. Exponents first,then add.

5. EXAMPLES X 6 IF X=2 2 636 X 7. X 5 X 7. X 5 X 7+5 X 12 Substitute 2 for x, then use the exponents and then simplify *NOTE: To multiply two powers having the same base, you add the exponents.

6. EXAMPLES (2N 2 ) (5N 4 ) (2N 2 ) (5N 4 ) 10N 2+4 10N 6 (U 3 ) 5 (U 3 ) 5 U 3. 5 U 15 Since, you can’t do what's in parenthesis first multiply 2 and 5, then add N to N and you will get N, then add the exponents. *NOTE: To find a power of a power, you multiply the exponents. Bring down the variable, then multiply

7. EXAMPLES (-2k) 5 (-2k) 5 -32k 5 *NOTE: To find a power of a product, you find the power of each them multiply. You take the 5 and square it to the -2 and the k.

8. PRATICE PROBLEMS 1. (3y 4 ) (7y 5 ) 2. (y 5 ) 2 3. (x 2 y 4 ) 5 4. (x 2 ) 5 (x 3 ) 5. (5x 7 ) (x 6 ) 6. b 3. b 4 7. (-3a 3 b 2 ) (5ab 4 ) 8. (2a 2 b 2 ) (5ab 3 ) 4 9.(2m 2 n 3 ) 3 (3m 3 n) 4 10. (7b 3 c 6 ) 2

9. ANSWERS 1. (3y 4 ) (7y 5 )4. (x 2 ) 5 (x 3 )7. (-3a 3 b 2 ) (5ab 4 ) 1. (3y 4 ) (7y 5 )4. (x 2 ) 5 (x 3 )7. (-3a 3 b 2 ) (5ab 4 ) 3y. 7y 4+5 x 2+3*5 -3*5a 3+1 b 2+4 3y. 7y 4+5 x 2+3*5 -3*5a 3+1 b 2+4 21y 9 x 13 -15a 4 b 6 21y 9 x 13 -15a 4 b 6 2. (y 5 ) 2 5. (5x 7 ) (x 6 )8. (2a 2 b 2 ) (5ab 3 ) 4 2. (y 5 ) 2 5. (5x 7 ) (x 6 )8. (2a 2 b 2 ) (5ab 3 ) 4 y 5+2 5x 7+6 2a*5a 2+3*4 b 2+5*4 y 5+2 5x 7+6 2a*5a 2+3*4 b 2+5*4 y 7 5x 13 10a 8 b 20 y 7 5x 13 10a 8 b 20 3. (x 2 y 4 ) 5 6. b 3 *b 4 9. (2m 2 n 3 ) 3 (3m 3 n) 4 3. (x 2 y 4 ) 5 6. b 3 *b 4 9. (2m 2 n 3 ) 3 (3m 3 n) 4 x 2*5 y 4*5 b 3+4 2m*3m 2+3*3*4 n 3*4*3 x 2*5 y 4*5 b 3+4 2m*3m 2+3*3*4 n 3*4*3 x 10 y 20 b 7 x 10 y 20 b 7

10. SUMMARY TOOL *NOTE: Monomial that are real numbers are called constants. *NOTE: Be careful when using parenthesis you might get a different answer. *NOTE: To multiply two powers having the same base, you add the exponents. *NOTE: To find a power of a power, you multiply the exponents. * NOTE: To find a power of a product, you find the power of each them multiply.

11. RESOURCE httpwww.slidermath.com/rpoly/Polym2.sht ml http://www.slidermath.com/rpoly/Polym2.sht ml httpwww.slidermath.com/rpoly/Polym2.sht ml http://www.slidermath.com/rpoly/Polym2.sht ml http://www.glencoe.com/sec/math/studytools /cgi-bin/msgQuiz.php4?isbn=0-02-825326- 4&chapter=9&lesson=1 http://www.glencoe.com/sec/math/studytools /cgi-bin/msgQuiz.php4?isbn=0-02-825326- 4&chapter=9&lesson=1 http://www.glencoe.com/sec/math/studytools /cgi-bin/msgQuiz.php4?isbn=0-02-825326- 4&chapter=9&lesson=1 http://www.glencoe.com/sec/math/studytools /cgi-bin/msgQuiz.php4?isbn=0-02-825326- 4&chapter=9&lesson=1 http://www.purplemath.com/modules/polymul t.htm http://www.purplemath.com/modules/polymul t.htm