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
Here are the solutions for 2.1 and 2.2. 2.1 Step 1: Apply the power of a power rule for exponents, which states that (x^m)^n = x^m · n. (a^3)^4 = a^3 × 4 Step 2: Multiply the exponents. a^3 × 4 = a^12 The simplified expression is: a^12 2.2 Step 1: Multiply the numerical coefficients. 4 × -3 = -12 Step 2: Multiply the terms with the base a. Remember that a is a^1. a^1 × a^3 = a^1+3 = a^4 Step 3: Multiply the terms with the base b. Remember that b is b^1. b^3 × b^1 = b^3+1 = b^4 Step 4: Combine the results from Step 1, Step 2, and Step 3. -12 · a^4 · b^4 = -12a^4b^4 The simplified expression is: -12a^4b^4 That's 2 down. 3 left today — send the next one.