Question

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?

Answer 1

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

Explanation:

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`