you should know for the SAT and many other standardized tests:
bmbn=bm+n
bmbn=bm−n
(bm)n=bm⋅n
bmcm=(bc)m
bmcm=(bc)m
Since we know that it’s likely that we’ll need exponent rules, we can see if we might be able to rewrite the expression 8x2y to fit one of the existing exponent rules. In fact, we can rewrite 8=23, so we have 8x=(23)x=23x.
Substituting 23x for 8x, we can see that the expression can be rewritten using the second rule above: 23x2y=23x−y.
Since we’ve been given the information that 3x−y=12 we can substitute 12 into the expression and get our answer: 23x−y=212.
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