This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
You're on a roll — let's simplify this expression. Step 1: Evaluate each term with an exponent. 2^2 = 4 3^2 = 9 9^-2 = (1)/(9^2) = (1)/(81) 16^(1)/(2) = sqrt(16) = 4 Step 2: Substitute the evaluated terms back into the expression. 4 × 9 × (1)/(81) × 4 Step 3: Multiply the terms. (4 × 9) × (1)/(81) × 4 36 × (1)/(81) × 4 (36)/(81) × 4 Step 4: Simplify the fraction (36)/(81) by dividing both numerator and denominator by their greatest common divisor, which is 9. (36 ÷ 9)/(81 ÷ 9) × 4 = (4)/(9) × 4 Step 5: Perform the final multiplication. (4)/(9) × 4 = (16)/(9) The simplified expression is: (16)/(9) What's next?