The symbol ⟐ defines a mathematical binary operation such that y ⟐ x =x y^xfor all positive integers.What is the value of (2 ⟐ 3) ⟐ 2?

Answer:

12) C

From the given information about the symbol, we can form the equation:

2 ⟐ 3 = (2³ ÷ 3 )= [(2 x 2 x 2) ÷ 3] = ⁸⁄₃

[(⁸⁄₃) ⟐ 2] = [(⁸⁄₃)² ÷ 2] = [(⁶⁴⁄₉) ÷ 2] = (⁶⁴⁄₉ x ½)