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
khomotsokoko19, let's knock this out. a) Step 1: Divide the numerical coefficients. (-21)/(-3) = 7 Step 2: Divide the terms with base a using the exponent rule (x^m)/(x^n) = x^m-n. (a^5)/(a^4) = a^5-4 = a^1 = a Step 3: Divide the terms with base b using the exponent rule (x^m)/(x^n) = x^m-n (note that b = b^1). (b^4)/(b^1) = b^4-1 = b^3 Step 4: Combine the results. 7ab^3 The final answer is 7ab^3. b) Step 1: Apply the exponent 3 to each factor inside the parentheses using the rule (xyz)^n = x^n y^n z^n. (2 x^4 y^7)^3 = 2^3 (x^4)^3 (y^7)^3 Step 2: Calculate 2^3. 2^3 = 2 × 2 × 2 = 8 Step 3: Apply the exponent 3 to the variable terms using the rule (x^m)^n = x^mn. (x^4)^3 = x^4 × 3 = x^12 (y^7)^3 = y^7 × 3 = y^21 Step 4: Combine the results. 8x^12y^21 The final answer is 8x^12y^21. Send me the next one 📸