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
Step 1: Identify the expression. The expression shown in the image is (-(3)/(2))^2. Step 2: Apply the exponent to both the numerator and the denominator. When a fraction is raised to a power, both the numerator and the denominator are raised to that power. Also, a negative number raised to an even power results in a positive number. (-(3)/(2))^2 = ((-3)^2)/((2)^2) Step 3: Calculate the square of the numerator. (-3)^2 = (-3) × (-3) = 9 Step 4: Calculate the square of the denominator. (2)^2 = 2 × 2 = 4 Step 5: Combine the results to get the final answer. (9)/(4) The final answer is (9)/(4). That's 2 down. 3 left today — send the next one.