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... 6-1 Integer Exponents Example 3B: Evaluating Expressions with Zero and Negative Exponents Simplify the expression for the given values of the variables. –2a0b-4 for a = 5 and b = –3 Substitute 5 for a and –3 for b. Evaluate expressions with exponents. Write the power in the denominator as a product ...
... 6-1 Integer Exponents Example 3B: Evaluating Expressions with Zero and Negative Exponents Simplify the expression for the given values of the variables. –2a0b-4 for a = 5 and b = –3 Substitute 5 for a and –3 for b. Evaluate expressions with exponents. Write the power in the denominator as a product ...
SOLUTIONS TO THE USC
... words, either p = 3k + 1 for some integer k or p = 3k + 2 for some integer k. In either case, k 0. Also, in the rst case, p2 + 21p 1 = 9k2 + 6k + 21p = 3(3k2 + 2k + 7p); and, in the second case, p2 + 21p 1 = 9k2 + 12k + 3 + 21p = 3(3k2 + 4k + 1 + 7p). Thus, if p is a prime other than 3, then p2 + ...
... words, either p = 3k + 1 for some integer k or p = 3k + 2 for some integer k. In either case, k 0. Also, in the rst case, p2 + 21p 1 = 9k2 + 6k + 21p = 3(3k2 + 2k + 7p); and, in the second case, p2 + 21p 1 = 9k2 + 12k + 3 + 21p = 3(3k2 + 4k + 1 + 7p). Thus, if p is a prime other than 3, then p2 + ...
Standard Grade Mathematics Investigations
... The first triangular number is made with just one counter and so is one. The second triangular number is 3. The 3rd triangular number is 6 and the 4th triangular number is 10. Write down the next 4 triangular numbers. What is the 12th triangular number? What is the 24th triangular number? Which tria ...
... The first triangular number is made with just one counter and so is one. The second triangular number is 3. The 3rd triangular number is 6 and the 4th triangular number is 10. Write down the next 4 triangular numbers. What is the 12th triangular number? What is the 24th triangular number? Which tria ...
Chapter 2a - Bakersfield College
... Concept Check You have water in each graduated cylinder shown. You then add both samples to a beaker (assume that all of the liquid is transferred). How would you write the number describing the total volume? 3.08 mL What limits the precision of the total volume? ...
... Concept Check You have water in each graduated cylinder shown. You then add both samples to a beaker (assume that all of the liquid is transferred). How would you write the number describing the total volume? 3.08 mL What limits the precision of the total volume? ...
ON THE NUMBER OF NON-ZERO DIGITS OF INTEGERS IN
... 1. Introduction It is an old problem to study integers having only a ‘few’ non-zero digits in some classical base b representation, see e.g. papers by Erdős, Mauduit, Pomerance, Sárközy [6, 7, 15, 16, 17] and the references there. On the other hand, if a number n has to hold certain other arithme ...
... 1. Introduction It is an old problem to study integers having only a ‘few’ non-zero digits in some classical base b representation, see e.g. papers by Erdős, Mauduit, Pomerance, Sárközy [6, 7, 15, 16, 17] and the references there. On the other hand, if a number n has to hold certain other arithme ...
