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
You're on a roll — The given simplification is incorrect. Here's the correct way to simplify the expression: Step 1: Evaluate the term inside the parentheses raised to the power of 6. (-2x^3)^6 Apply the power to both the coefficient and the variable term: (-2)^6 · (x^3)^6 Step 2: Calculate (-2)^6. Since the exponent is an even number, the result will be positive. (-2)^6 = 64 Step 3: Apply the power of a power rule for the variable term, (x^m)^n = x^m · n. (x^3)^6 = x^3 × 6 = x^18 Step 4: Combine the results from Step 2 and Step 3. (-2x^3)^6 = 64x^18 Step 5: Apply the negative sign that is outside the entire expression. -(-2x^3)^6 = -(64x^18) Step 6: Final simplification. -64x^18 The correct simplified expression is: -64x^18 Drop the next question!