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# 8 3quotients Of Powers

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### 8 3quotients Of Powers

1. 1. Let’s Divide! Dividing Monomials Chapter 8.3
2. 2. Quotients of Powers <ul><li>How do I find ? </li></ul><ul><li>a*a*a*a*a*a = </li></ul><ul><li>a*a*a*a </li></ul><ul><li>a 2 </li></ul><ul><li>1 = a 2 </li></ul>a*a*a*a*a*a = a*a*a*a
3. 3. Let’s find a different way <ul><li>In the previous slide, you saw that the result of this fraction was a 2 . </li></ul><ul><li>How do 6 and 4 relate to two? </li></ul>
4. 4. Quotient of Powers Property <ul><li>For all non-zero numbers, subtract the exponent of the denominator from the numerator when the bases are the same. </li></ul><ul><li>4 5-2 = 4 3 </li></ul>
5. 5. Let’s prove it. <ul><li>4 5-2 = 4 3 </li></ul>
6. 6. Try Some.
7. 7. Solutions <ul><li>2 10-5 = 2 5 </li></ul><ul><li>3 10-7 = 3 3 </li></ul><ul><li>5 8-3 = 5 5 </li></ul><ul><li>2 3-2 = 2 1= 2 </li></ul>
8. 8. Try Some with variables. <ul><li>x j-1 </li></ul><ul><li>x a+b-c </li></ul><ul><li>x m+1-1 = x m </li></ul>
9. 9. Fun Fun Fun
10. 10. Fun Fun Fun <ul><li>-2x 2-1 y 5-3 =-2xy 2 </li></ul><ul><li>-40a 4-1 b2c -5 </li></ul><ul><li>= -40a 3 b 2 </li></ul><ul><li>c 5 </li></ul>
11. 11. Remember negative exponents? <ul><li>Any time you have a negative exponent, it must be placed in the denominator. </li></ul><ul><li>C -3 = </li></ul>
12. 12. Try Some