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Exponents and Powers: Order of Operations and Laws

Learn about the order of operations, exponent laws, and how to simplify expressions involving powers. Identify exponents, write powers with given bases, evaluate expressions, and apply exponent laws.

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Exponents and Powers: Order of Operations and Laws

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  1. Powers Powers of Ten Order Of Operations Exponent Laws I I am so Smart 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500

  2. Identify the exponent in the following example:53

  3. What is 3?

  4. Write 27 as a power with base 3.

  5. What is 33

  6. Daily Double Write 16 as two different powers with different bases.

  7. What is 42 and 24.

  8. Write 64 as two different powers with the same base.

  9. What is 26 and (22)3

  10. Write 64 as three different powers with different bases.

  11. What is 26, 43, 82.

  12. Evaluate (7 x 3)0 - 50

  13. What is 0

  14. Write 100, 000 as a power of 10.

  15. What is 105.

  16. Write 202 as powers of 10.

  17. What is:(2x102) + (2x100)

  18. What is 103 + 101 – 100 equal to?

  19. What is 1009.

  20. What does: (102 x 101) ÷ (101÷100) simplify to as a power of 10?

  21. What is 102

  22. What order of Operations do we follow?

  23. What is BEDMAS?

  24. Evaluate: 3 + 42

  25. What is 19

  26. Evaluate: 3 + 2 x 4 – 2 x 5

  27. What is:1

  28. Which answer is the larger expression. What is the answer?33 x 23 – 52 or(3 x 2)2 – 5 x 5

  29. What is 33 x 23 – 52= 191

  30. Evaluate: –(33 – 4 x 52)0 / (– 2)3

  31. What is -1/8.

  32. State the Exponent Law for a Product of Powers

  33. What is: to multiply powers with the same base we add the exponents.

  34. Simplify and evaluate: (-2)3÷ (-2)0

  35. What is -8

  36. Simplify: 32 x 36÷ 34

  37. What is: 34

  38. Evaluate:(43 x 45) ÷ (42 x 46)

  39. What is 1.

  40. Evaluate:(-3)6÷ (-3)5 – (-3)3 x (-3)1

  41. What is:-84

  42. State the Exponent Law for a Power of a Power.

  43. What is:to raise a power to a power, we simply multiply the exponents.

  44. Simplify:(22)3÷ (22)2

  45. What is 22.

  46. Daily Double Write 64 as a power of powers with 2 different exponents other than one.

  47. What is:(22)3

  48. Simplify:(35÷ 32)3

  49. What is:39.

  50. Write the following as a power of a power with base two not using one as an exponent.( 32 x 64) ÷ 128

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