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How to Manipulate Exponents on the SAT7/14/2016
If 3x  y = 12, what is the value of
Answer:
As we know we can manipulate exponents with the same base. Since 2 and 8 are both powers of 2, substituting 2^3 for 8 in the numerator of
gives us
Since the numerator and denominator of have a common base, i.e. 2, this expression can be rewritten as
We are given that 3x−y=12, so one can substitute 12 for the exponent, 3x−y, so the expression
can be reduced to
The final answer is A.
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