If D is the midpoint of segment AC , C is the midpoint of segment AB , and AD = 3 cm, what is the length of segment BC ?
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Answers:
- 2^3 = 8
- 3^2 = 9
- 3^3 = 27
- 4^3 = 64
- 5^2 = 25
- 8^2 = 64
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Explanation:
The notation 5^2 is the same as writing
The second number is the exponent and it tells us how many copies of the base to multiply together. In the example 5^2, we have two copies of 5 multiplied to get 5^2 = 5*5 = 25
As another example, 4^3 = 4*4*4 = 64. We have three copies of 4 multiplied due to the exponent 3. You can use a calculator for this, but I recommend doing this by hand to get practice.
Note how 4^3 = 64 and 8^2 = 64. So 64 is used twice (which is why we have two tiles labeled "64").
The tiles labeled 9, 12, 10, and 16 are never used since they don't have any matching exponential expression.