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: Evaluate the exponent. 2 - 18 ÷ 4^3 - 9 = 2 - 18 ÷ (4 × 4 × 4) - 9 2 - 18 ÷ 64 - 9 Step 2: Perform the division. 2 - (18)/(64) - 9 Simplify the fraction (18)/(64) by dividing the numerator and denominator by 2. 2 - (9)/(32) - 9 Step 3: Perform the subtractions from left to right. First, subtract (9)/(32) from 2. To do this, express 2 as a fraction with a denominator of 32. 2 = (2 × 32)/(32) = (64)/(32) (64)/(32) - (9)/(32) - 9 = (64-9)/(32) - 9 (55)/(32) - 9 Step 4: Subtract 9 from (55)/(32). Express 9 as a fraction with a denominator of 32. 9 = (9 × 32)/(32) = (288)/(32) (55)/(32) - (288)/(32) = (55-288)/(32) (-233)/(32) The final answer is -(233)/(32). That's 2 down. 3 left today — send the next one.