I've been told by the best minds that math is racist, so that's all the more reason to keep practicing it, right? Anyway, my answer will be in the comments.
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We're given:
ReplyDelete9^999 + 9^999 + 9^999 = ?
This can be rewritten as:
3(9^999)
In the exponential expression, the base 9 can be rewritten as 3^2, which means the expression inside the parentheses can be rewritten as
3^1998
power rule: (a^m)^n = a^mn
The full expression, then, is:
3(3^1998)
3 is basically 3^1, so add powers because the other power rule is
a^m • a^n = a^(m+n)
So the answer is
3^1999.
QED.