Multiplication Properties of Exponents 06/01/09 PH 8-6  Bitsy Griffin
Multiplying Powers – same base <ul><li>For any nonzero number a and any integers m and n, </li></ul><ul><li>a m   ●  a n  ...
Multiplying Powers – same base <ul><li>8 4   ●  8 2  = 8 2+4 =  8 6 </li></ul><ul><li>8 3   ●  8 3  = 8 3+3 =  8 6 </li></...
Ex 1 - Simplify the Expressions <ul><li>m  3   ● n  4  ● m  5 </li></ul><ul><li>Rearrange the bases.  </li></ul><ul><li>m ...
Ex 1 - Simplify the Expressions <ul><li>Now follow the rules for multiplying bases. </li></ul><ul><li>m  3 + 5   ● n  4 </...
Ex 1 - Practice <ul><li>(-5m 2 )(-2m 4 ) </li></ul><ul><li>(-2a 2 b 3 )(3a 4 ) </li></ul><ul><li>(5x 2 y 3 )(-2x 4 y 5 ) <...
Ex 2 – Scientific Notation  <ul><li>Use your calculator to help you. Remember that you may or may not have to convert the ...
Ex 2 – Scientific Notation  <ul><li>200(5x10 3 )(1x10 7 ) </li></ul><ul><li>8(10x10 11 )(2.5x10 3 ) </li></ul><ul><li>(9x1...
Ex 2 – Scientific Notation  <ul><li>Suppose you are an astronaut on a mission to Mars. Your spacecraft is traveling at a s...
Ex 2 – Scientific Notation  <ul><li>Set up your problem. </li></ul><ul><li>(2.5 x 10 4 ) (5.5 x 10 3 ) = ? </li></ul>06/01...
Ex 3 –  Write w/ Positive Exponents <ul><li>Use the same rules you learned for multiplying exponents AND for negative expo...
Ex 3 –  Write w/ Positive Exponents <ul><li>a -5  ● a 3 </li></ul><ul><li>a -5 + 3 </li></ul><ul><li>a -2 </li></ul><ul><l...
Ex 3 – Practice  <ul><li>m 8  ● m – 5 </li></ul><ul><li>(2 a -3 )(5a 4 ) </li></ul><ul><li>(-3p -5 )(2p 8 ) </li></ul><ul>...
Upcoming SlideShare
Loading in …5
×

Multiplication Property Exponents

5,906 views

Published on

Published in: Technology, Health & Medicine
0 Comments
2 Likes
Statistics
Notes
  • Be the first to comment

No Downloads
Views
Total views
5,906
On SlideShare
0
From Embeds
0
Number of Embeds
47
Actions
Shares
0
Downloads
13
Comments
0
Likes
2
Embeds 0
No embeds

No notes for slide

Multiplication Property Exponents

  1. 1. Multiplication Properties of Exponents 06/01/09 PH 8-6 Bitsy Griffin
  2. 2. Multiplying Powers – same base <ul><li>For any nonzero number a and any integers m and n, </li></ul><ul><li>a m ● a n = a m+n </li></ul>06/01/09 PH 8-6 Bitsy Griffin
  3. 3. Multiplying Powers – same base <ul><li>8 4 ● 8 2 = 8 2+4 = 8 6 </li></ul><ul><li>8 3 ● 8 3 = 8 3+3 = 8 6 </li></ul><ul><li>3 5 ● 3 4 = 3 5+4 = 3 9 </li></ul><ul><li>6 4 ● 6 -3 = 6 4+-2 = 6 2 </li></ul>06/01/09 PH 8-6 Bitsy Griffin
  4. 4. Ex 1 - Simplify the Expressions <ul><li>m 3 ● n 4 ● m 5 </li></ul><ul><li>Rearrange the bases. </li></ul><ul><li>m 3 ● m 5 ● n 4 </li></ul>06/01/09 PH 8-6 Bitsy Griffin
  5. 5. Ex 1 - Simplify the Expressions <ul><li>Now follow the rules for multiplying bases. </li></ul><ul><li>m 3 + 5 ● n 4 </li></ul><ul><li>m 8 ● n 4 </li></ul>06/01/09 PH 8-6 Bitsy Griffin
  6. 6. Ex 1 - Practice <ul><li>(-5m 2 )(-2m 4 ) </li></ul><ul><li>(-2a 2 b 3 )(3a 4 ) </li></ul><ul><li>(5x 2 y 3 )(-2x 4 y 5 ) </li></ul><ul><li>(3m 2 n 5 )(-8mn 2 ) </li></ul>06/01/09 PH 8-6 Bitsy Griffin
  7. 7. Ex 2 – Scientific Notation <ul><li>Use your calculator to help you. Remember that you may or may not have to convert the numbers from standard to scientific. </li></ul>06/01/09 PH 8-6 Bitsy Griffin
  8. 8. Ex 2 – Scientific Notation <ul><li>200(5x10 3 )(1x10 7 ) </li></ul><ul><li>8(10x10 11 )(2.5x10 3 ) </li></ul><ul><li>(9x10 8 )(0.2x10 4 ) </li></ul>06/01/09 PH 8-6 Bitsy Griffin
  9. 9. Ex 2 – Scientific Notation <ul><li>Suppose you are an astronaut on a mission to Mars. Your spacecraft is traveling at a speed of 2.5 x 10 4 mi/h. It takes you 5.5 x 10 3 h to reach Mars. How many miles do you travel? </li></ul>06/01/09 PH 8-6 Bitsy Griffin
  10. 10. Ex 2 – Scientific Notation <ul><li>Set up your problem. </li></ul><ul><li>(2.5 x 10 4 ) (5.5 x 10 3 ) = ? </li></ul>06/01/09 PH 8-6 Bitsy Griffin
  11. 11. Ex 3 – Write w/ Positive Exponents <ul><li>Use the same rules you learned for multiplying exponents AND for negative exponents. </li></ul>06/01/09 PH 8-6 Bitsy Griffin
  12. 12. Ex 3 – Write w/ Positive Exponents <ul><li>a -5 ● a 3 </li></ul><ul><li>a -5 + 3 </li></ul><ul><li>a -2 </li></ul><ul><li>1 / a 2 </li></ul>06/01/09 PH 8-6 Bitsy Griffin
  13. 13. Ex 3 – Practice <ul><li>m 8 ● m – 5 </li></ul><ul><li>(2 a -3 )(5a 4 ) </li></ul><ul><li>(-3p -5 )(2p 8 ) </li></ul><ul><li>1/(x 3 ● x -7 ) </li></ul>06/01/09 PH 8-6 Bitsy Griffin

×