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Exponents

Exponents. 4. 3. What do they mean?. 4. 3. =. 3. x 3. x 3. x 3. Can you do this on your calculator?. Is there a faster way?. Too many buttons!. 3. x 3. x 3. x 3. =. AND… what if it is something like 0.1279 25 ?. Look for something like. x y. y x. ^. 4. 3. =. 81.

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Exponents

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  1. Exponents 4 3 What do they mean? 4 3 = 3 x3 x3 x3 Can you do this on your calculator?

  2. Is there a faster way? Too many buttons! 3 x 3 x 3 x 3 = AND… what if it is something like 0.1279 25 ? Look for something like... xy yx ^ 4 3 = 81

  3. Communicate Your Understanding MHR 113:C1, C2, C3, C4

  4. Are these the same thing? Hmmm... NO! (-3)2 -32 Order of operations (BEDMAS) =-(3x3) =(-3)(-3) =-9 =9

  5. Page 120 #6

  6. #9. Reflect: How can you write a product of powers using a single power? Complete: #7, #8 #10.Write a rule for finding the product of powers. • PRODUCT RULE • x SHORTCUT • Ensure same base! • Add the exponents. xaxxb = xa+b

  7. Apply the Product Rule(x shortcut) Apply the product rule to write each as a single power. Evaluate the expression given in c) a) b) c)

  8. Page 120 #11

  9. #14. Reflect: How can you write a quotient of powers using a single power? Complete: #12, 13 #15.Write a rule for finding the quotient of powers. • QUOTIENT RULE •  SHORTCUT • Ensure same base! • Subtract the exponents. xaxb = xa-b

  10. Apply the Quotient Rule( shortcut) Apply the quotient rule to write each as a single power. Evaluate the expression given in b) and c) a) b) c)

  11. Page 123 #1, 2, 3

  12. #4.Write a rule for finding the power of a power. (xa)b = xa xb • POWER OF A POWER • SHORTCUT • Multiply the exponents for each base in the brackets

  13. ~ Exponent Laws ~

  14. The bases must be the same!

  15. Hmmm... #2 Can you simplify this? NO! These are not like terms!

  16. PRACTISE! • MHR textbook • p114 #5, #6, #8 • p126: #1 through to #7 • TIPS: p118 #17, #18

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