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: Simplify the left-hand side with base : .
  3. Step 3: Equate the exponents on both sides of : .
Answer
12.
Why not the others: 13 adds 1 to the exponent, 0 misapplies the zero exponent rule, and 36 multiplies the exponents instead of adding them.

Practise more Exponents and radicals.

Free questions with an explanation for every one, and full timed ACT mock tests.