Practice Quiz

SAT Math

Category - Algebra and Functions

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What is the value of (( − 3)^9 × 3^12)/(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 a^x × a^y = a^(x + y), a^x/a^y = a^(x − y), ( − 1)^(odd number) = − 1 and ( − 1)^(even number) = 1
(( − 3)^9 × 3^12)/(3^( − 14) × ( − 3)^34 ) = ( − 3^9 × 3^12)/(3^( − 14) × 3^34 ) = − 3^(9 + 12)/3^( − 14 + 34) = − 3^21/3^20 = − 3^(21 − 20) = − 3^1 = − 3
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