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: Combine the numerators and denominators of the given fractions. (13a^3)/(28b^3) × (65a^b)/(56a^4) = (13 × 65 × a^3 × a^b)/(28 × 56 × b^3 × a^4) Step 2: Multiply the numerical coefficients. 13 × 65 = 845 28 × 56 = 1568 The expression becomes: (845 × a^3 × a^b)/(1568 × b^3 × a^4) Step 3: Simplify the terms with variable 'a' using the exponent rules x^m × x^n = x^m+n and (x^m)/(x^n) = x^m-n. (a^3 × a^b)/(a^4) = a^3+ba^4 = a^(3+b)-4 = a^b-1 Step 4: Combine all simplified parts. The term b^3 remains in the denominator. (845)/(1568) × a^b-1 × (1)/(b^3) = 845 a^b-11568 b^3 The simplified expression is: 845 a^b-11568 b^3 Send me the next one 📸