Hampton has a baseball card collection of #5^6# cards. He organizes the cards into boxes that hold #5^4# each. How many boxes will Hampton need to hold the cards?

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Answer 1 · 2016-10-23T14:10:45

#BN = 5^2 = 25#; where #BN = "Boxes Needed"#.

Hampton's total cards #= 5^6#

He has boxes holding #5^4# cards

You need to divide the total number of boxes by the number of cards held per box to determine the number of boxes required.

Therefore your answer is:

#BN = (5^6) / (5^4)" "#; where #BN = "Boxes Needed"#.

When dividing the same number with exponents you subtract the exponents, therefore:

#BN = 5^2 = 25#