SAT Prep

Category - Math

What is the value of (( − 3)9 × 312)/(3^( − 14) × ( − 3)34 )?
  1. - 9
  2. - 3
  3. 1
  4. 3
  5. 9
Explanation
Answer: B - The value of the expression is − 3. Use ax × ay = a^(x + y), ax/ay = a^(x − y), ( − 1)^(odd number) = − 1 and ( − 1)^(even number) = 1
(( − 3)9 × 312)/(3^( − 14) × ( − 3)34 ) = ( − 39 × 312)/(3^( − 14) × 334 ) = − 3^(9 + 12)/3^( − 14 + 34) = − 321/320 = − 3^(21 − 20) = − 31 = − 3
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