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
Hey Devon, good to see you again. Here are the calculations for question 4: a) Calculate 2^3 Step 1: Expand the exponent. 2^3 = 2 × 2 × 2 Step 2: Multiply the numbers. 2 × 2 × 2 = 8 The value is 8. b) Calculate 5^2 Step 1: Expand the exponent. 5^2 = 5 × 5 Step 2: Multiply the numbers. 5 × 5 = 25 The value is 25. c) Calculate 2^3 × 2^2 Step 1: Apply the exponent rule a^m × a^n = a^m+n. 2^3 × 2^2 = 2^3+2 Step 2: Add the exponents. 2^3+2 = 2^5 Step 3: Expand and multiply. 2^5 = 2 × 2 × 2 × 2 × 2 = 32 The value is 32. d) Calculate 5^4 ÷ 5^2 Step 1: Apply the exponent rule a^m ÷ a^n = a^m-n. 5^4 ÷ 5^2 = 5^4-2 Step 2: Subtract the exponents. 5^4-2 = 5^2 Step 3: Expand and multiply. 5^2 = 5 × 5 = 25 The value is 25. Send me the next one 📸