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 to the problems. 1. Extend the pattern another 3 times (up the power of 5). a) 20 × 20 × 20 = 20^3 20 × 20 × 20 × 20 = 20^4 20 × 20 × 20 × 20 × 20 = 20^5 b) 10 × 10 × 10 = 10^3 10 × 10 × 10 × 10 = 10^4 10 × 10 × 10 × 10 × 10 = 10^5 c) 17 × 17 × 17 = 17^3 17 × 17 × 17 × 17 = 17^4 17 × 17 × 17 × 17 × 17 = 17^5 d) 38 × 38 × 38 = 38^3 38 × 38 × 38 × 38 = 38^4 38 × 38 × 38 × 38 × 38 = 38^5 e) 59 × 59 × 59 = 59^3 59 × 59 × 59 × 59 = 59^4 59 × 59 × 59 × 59 × 59 = 59^5 f) 15 × 15 × 15 = 15^3 15 × 15 × 15 × 15 = 15^4 15 × 15 × 15 × 15 × 15 = 15^5 2. Expand the exponential notation and use your calculator to calculate the answer. a) Step 1: Expand the exponential notation. 22^3 = 22 × 22 × 22 Step 2: Calculate the product. 22 × 22 × 22 = 10648 The answer is 10648. b) Step 1: Expand the exponential notation. 81^2 = 81 × 81 Step 2: Calculate the product. 81 × 81 = 6561 The answer is 6561. c) Step 1: Expand the exponential notation. 74^4 = 74 × 74 × 74 × 74 Step 2: Calculate the product. 74 × 74 × 74 × 74 = 29986576 The answer is 29986576. d) Step 1: Expand the exponential notation. 39^1 = 39 Step 2: Calculate the product. 39 = 39 The answer is 39. e) Step 1: Expand the exponential notation. 97^2 = 97 × 97 Step 2: Calculate the product. 97 × 97 = 9409 The answer is 9409. f) Step 1: Expand the exponential notation. 32^5 = 32 × 32 × 32 × 32 × 32 Step 2: Calculate the product. 32 × 32 × 32 × 32 × 32 = 33554432 The answer is 33554432. Send me the next one 📸