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: Evaluate the terms inside the parentheses. First, calculate 36^(1)/(2). 36^(1)/(2) = sqrt(36) = 6 Next, calculate 16^(1)/(4). 16^(1)/(4) = [4]16 = 2 Step 2: Add the results from Step 1. 6 + 2 = 8 Step 3: Raise the sum to the power of -(2)/(3). (8)^-(2)/(3) Use the property a^-m = (1)/(a^m) to rewrite the expression. (8)^-(2)/(3) = (1)/(8^2)3 Step 4: Evaluate 8^(2)/(3). Use the property a^(m)/(n) = ([n]a)^m. 8^(2)/(3) = ([3]8)^2 Calculate the cube root of 8. [3]8 = 2 Square the result. (2)^2 = 4 Step 5: Substitute the value back into the expression from Step 3. (1)/(8^2)3 = (1)/(4) The final answer is (1)/(4). That's 2 down. 3 left today — send the next one.