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: Rewrite the expression using the property of fractional exponents, a^(m)/(n) = ([n]a)^m. ((4)/(9))^(3)/(2) = (sqrt((4)/(9)))^3 Step 2: Calculate the square root of the fraction. sqrt((4)/(9)) = sqrt(4)sqrt(9) = (2)/(3) Step 3: Cube the result from Step 2. ((2)/(3))^3 = (2^3)/(3^3) = (2 × 2 × 2)/(3 × 3 × 3) = (8)/(27) The final answer is (8)/(27). Send me the next one 📸