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 the expressions: e) Simplify (3)^2 × 2 - 2^2 × 3. Step 1: Evaluate the exponents. (3)^2 = 9 2^2 = 4 Step 2: Substitute the values back into the expression. 9 × 2 - 4 × 3 Step 3: Perform the multiplications from left to right. 9 × 2 = 18 4 × 3 = 12 Step 4: Perform the subtraction. 18 - 12 = 6 The simplified expression is: 6 f) Simplify 5 × (2 + 3)^2 + 1^3. Step 1: Perform the operation inside the parentheses. (2 + 3) = 5 Step 2: Evaluate the exponents. 5^2 = 25 1^3 = 1 Step 3: Substitute the values back into the expression. 5 × 25 + 1 Step 4: Perform the multiplication. 5 × 25 = 125 Step 5: Perform the addition. 125 + 1 = 126 The simplified expression is: 126 Activity 2, a) Simplify 6^2 - 4^2 - sqrt(9). Step 1: Evaluate the exponents and the square root. 6^2 = 36 4^2 = 16 sqrt(9) = 3 Step 2: Substitute the values back into the expression. 36 - 16 - 3 Step 3: Perform the subtractions from left to right. 36 - 16 = 20 20 - 3 = 17 The simplified expression is: 17 3 done, 2 left today. You're making progress.