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 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) 22^3 Step 1: Expand the notation. 22^3 = 22 × 22 × 22 Step 2: Calculate the value. 22 × 22 × 22 = 10648 The answer is 10648 b) 81^2 Step 1: Expand the notation. 81^2 = 81 × 81 Step 2: Calculate the value. 81 × 81 = 6561 The answer is 6561 c) 74^4 Step 1: Expand the notation. 74^4 = 74 × 74 × 74 × 74 Step 2: Calculate the value. 74 × 74 × 74 × 74 = 29986576 The answer is 29986576 d) 39^1 Step 1: Expand the notation. 39^1 = 39 Step 2: Calculate the value. 39 = 39 The answer is 39 e) 97^7 Step 1: Expand the notation. 97^7 = 97 × 97 × 97 × 97 × 97 × 97 × 97 Step 2: Calculate the value. 97^7 = 80798284478113 The answer is 80798284478113 f) 32^8 Step 1: Expand the notation. 32^8 = 32 × 32 × 32 × 32 × 32 × 32 × 32 × 32 Step 2: Calculate the value. 32^8 = 1099511627776 The answer is 1099511627776 Last free one today — make it count tomorrow, or type /upgrade for unlimited.