If , what is the value of ?

Answer and explanation

Correct answer: A. 12

  1. Step 1: Apply the exponent product rule for common bases (): .
  2. Step 2: Add the exponents: .
  3. Step 3: Equate powers: , so .
Answer
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Why not the others: Multiplying the exponents gives , which erroneously applies the power-of-a-power rule .

Practise more Exponents and radicals.

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