How to add exponents?

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by Shrinidhi » Tue Sep 09, 2008 7:27 pm
Here is how u do it :

2^5 + 2^5 + 3^5 + 3^5 + 3^5
= 2 (2^5) + 3 (3^5)
= 2^1 (2^5) + 3^1 (3^5)
= 2^6 + 3^6

The idea is when the base is same in a product of two numbers, their exponents can be added.
i.e.

x^a x^b = x^(a+b)

I hope it helps
Source: — Problem Solving |