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 simplified expressions: 9. Simplify the following leaving your answer in index form a) 2^3x × 2^2x Step 1: Apply the rule for multiplying exponents with the same base, a^m × a^n = a^m+n. 2^3x × 2^2x = 2^3x+2x Step 2: Add the exponents. = 2^5x The simplified expression is 2^5x. b) 2^6 ÷ 2^3 Step 1: Apply the rule for dividing exponents with the same base, a^m ÷ a^n = a^m-n. 2^6 ÷ 2^3 = 2^6-3 Step 2: Subtract the exponents. = 2^3 The simplified expression is 2^3. c) (3^2 × 3^5)/(3^3) Step 1: Simplify the numerator using the rule a^m × a^n = a^m+n. (3^2 × 3^5)/(3^3) = 3^2+53^3 = (3^7)/(3^3) Step 2: Apply the rule for dividing exponents with the same base, a^m ÷ a^n = a^m-n. = 3^7-3 = 3^4 The simplified expression is 3^4. That's 2 down. 3 left today — send the next one.