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 is the solution for question 1: a) 9 Step 1: Find a natural number that, when multiplied by itself, equals 9. 3 × 3 = 9 Step 2: Express this as a power. 9 = 3^2 The answer is 3^2. b) 25 Step 1: Find a natural number that, when multiplied by itself, equals 25. 5 × 5 = 25 Step 2: Express this as a power. 25 = 5^2 The answer is 5^2. c) 49 Step 1: Find a natural number that, when multiplied by itself, equals 49. 7 × 7 = 49 Step 2: Express this as a power. 49 = 7^2 The answer is 7^2. d) 27 Step 1: Find a natural number that, when multiplied by itself a certain number of times, equals 27. 3 × 3 × 3 = 27 Step 2: Express this as a power. 27 = 3^3 The answer is 3^3. e) 121 Step 1: Find a natural number that, when multiplied by itself, equals 121. 11 × 11 = 121 Step 2: Express this as a power. 121 = 11^2 The answer is 11^2. f) 125 Step 1: Find a natural number that, when multiplied by itself a certain number of times, equals 125. 5 × 5 × 5 = 125 Step 2: Express this as a power. 125 = 5^3 The answer is 5^3.