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Laws of Exponents

Directions: Use the whole numbers 1 through 20, at most one time each, and fill in the blanks to create equivalent expressions.



What types of numbers are easy to arrange into products?



Source: Shaun Errichiello

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  1. This problem was fantastic! My awesomely skilled sixth graders found seven more solutions to this problem! I wonder if we found them all? Thank you!

  2. I see that some students have found more solutions. I thought I might share a solution found by one of my 8th graders.

    (2^2)^5 = (2^6)^11/(2^7)^8 = 2^3 x 2^7 = 2^20/2^10

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