You can put this into a calculator and it will give you back scientific notation because both these numbers are REALLY BIG.
Here is where the cool factoring comes in:
8^99 - 8^98 can be rewritten as: 8^98(8 - 1) making it 7 times bigger than 8^98.
Thursday, November 11, 2010
November 2010 Brain Teaser Solution
Which is larger -- 8^98 or (8^99 - 8^98)? (8^98 means "8 to the 98th power")
You can put this into a calculator and it will give you back scientific notation because both these numbers are REALLY BIG.
so 8^98 is about 3.12 x 10^88 (10 to the 88th power) but 8^99 - 8^98 is about 2.22 x 10^89 (10 to the 89th power) therefore 8^99 - 8^98 is larger. But by how much?
Here is where the cool factoring comes in:
8^99 - 8^98 can be rewritten as: 8^98(8 - 1) making it 7 times bigger than 8^98.
You can put this into a calculator and it will give you back scientific notation because both these numbers are REALLY BIG.
Here is where the cool factoring comes in:
8^99 - 8^98 can be rewritten as: 8^98(8 - 1) making it 7 times bigger than 8^98.
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