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1. Which of the following is greater than 4.3 x 10^9
a. 2.1 x 10^9 b. 3.2 x 10^9 c. 5.3 x 10^9 d. 7.4 x 10^8
2. Which of the following is less than 6.5 x 10^-5
a. 1.4 x 10^-3 b. 2.5 x 10^-4 c. 7.8 x 10^-5 d. 4.6 x 10^-6
3. According to the 2010 census, the population of Nebraska was 1.8 x 10^6 people. Which state had a smaller population?
a. California: 3.7 x 10^7 b. Rhode Island: 1.1 x 10^6 c. Texas: 2.5 x 10^7 d. Missouri: 6 x 10^6
Solve the algebraic expression from subtracting rule.
Solve the algebraic fraction
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Define (C_G)(H) = {g is a number in G: g h = h g for all h is a number in H), where H is a subgroup of the group G. Prove that (C_G)(H) is a subgroup of G. Note: (C_G)(H) is called the centralizer of H in G.
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Verify the inverse relationship using composition
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