Middle school teacher here, and this is driving me crazy! Thanks!
In: 2
You can rewrite 2^9 + 2^9 as 2*2^9 that is equal to 2^10 Why it is equal is because of the definition of the exponent 2^9 =2*2*2*2*2*2*2*2*2 by definition so if you multiply it by 2 you get 2^10
You can do the same for any base you just need to have add together the same number as the base
3^4 +3^4 + 3^4 = 4^5
You can do that with base 10 to so 10^2 + 10^2 + 10^2 + 10^2 + 10^2 + 10^2 + 10^2 + 10^2 + 10^2 + 10^2 =10^3 That is equalvnet to 10 * (10^2) = 10 * 100 =1000
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