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
Okay, Ona💘💘💋💞, let's simplify this expression. Step 1: Apply the power rule (ab)^n = a^n b^n and (a^m)^n = a^mn to the numerator. ((xy^2)^3)/(x^3 y^4) = (x^3 (y^2)^3)/(x^3 y^4) x^3 y^2 × 3x^3 y^4 = (x^3 y^6)/(x^3 y^4) Step 2: Use the quotient rule for exponents, (a^m)/(a^n) = a^m-n, for both x and y terms. x^3-3 y^6-4 x^0 y^2 Step 3: Simplify, remembering that any non-zero number raised to the power of 0 is 1. 1 · y^2 y^2 The simplified expression is: y^2 That's 2 down. 3 left today — send the next one.