If I have (2^k - 1) + 2^k, how can this be simplified?
Thanks in advance.
Note: The ^ sign means "elevated to"
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If I have (2^k - 1) + 2^k, how can this be simplified?
Thanks in advance.
Note: The ^ sign means "elevated to"
Do you mean 2^(k - 1) + 2^k?
It is not.
OK, in that case, why are there parenthese? This could just be rewritten:
2^k + 2^k - 1, which could be rewritten:
2(2^k) - 1, which could be rewritten:
(2^(k + 1)) - 1
That makes so much sense. Thank you very much. You surely are talented at this!
Thanks, however, I'm not sure why that works. I just recognized it because it involves powers of 2, and I am a programmer, so I have seen that a lot.
xa * xb = xa+b
In this case:
21 * 2k = 21+k = 2k+1