# Opening Exponents Problem

**Math Problem**

My rich uncle gave me a dollar for my 3rd birthday. On each birthday after that, he tripled his previous gift. How much money did I receive from my uncle on my 8th birthday?

Solution

Each year the gift my uncle gives me triples, which means the new gift is found by multiplying the previous year’s gift by 3. So, on my 4th birthday my uncle gave me 1 x 3 = 3 dollars, on my 5th birthday he gave me 1x3x3 = 3×3 dollars, and so on.

Therefore, on my 8th birthday he gave me 3 x 3 x 3 x 3 x 3 = 243 dollars. An easier way to write this is using a **power: 3^5 = 243**.

March 27, 2011 | Filed Under Exponents

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