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 as a fraction. 56a^-67a^-4 Step 2: Separate the numerical coefficients and the variable terms. ((56)/(7)) × (a^-6a^-4) Step 3: Simplify the numerical part. (56)/(7) = 8 Step 4: Apply the exponent rule for division, which states that (x^m)/(x^n) = x^m-n. a^-6 - (-4) Step 5: Simplify the exponent. a^-6 + 4 = a^-2 Step 6: Combine the simplified numerical and variable parts. 8a^-2 Comparing this result with the given options: A 8a^-10 B 8a^-8 C 8a^-2 D 8a^2 E 8a^10 The correct option is C. The final answer is C 8a^-2. That's 2 down. 3 left today — send the next one.