so we must When we want to add three numbers, say a+b+c, we don't bother inserting parentheses because (a + b)+c=a+(b+c). But with pow- ers, this is not true (ab)e need not be equal to a(b). be careful. Show that this really is a problem, by finding positive inte- gers a,b,c such that (ab)e < a(b) and positive integers d, e, f such that (de)f>d(ef). -

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