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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Category - Math

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What is the value of (( − 3)⁹ × 3¹2)/(3^( − 14) × ( − 3)³4 )?

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 × 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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