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NUMBER THEORY Two numbers are relatively prime if their only common factor is \(1 .\) Determine whether the numbers in each pair are relatively prime. Write yes or no. 13 and 11

Without using a calculator, order \(96,96^{2}, 96^{10}\) \(96^{5},\) and \(96^{0}\) from least to greatest. Explain.

Determine whether each number is prime or composite. $$79$$

Factor each expression. $$5 n-10 m+25$$

Luis has 48 feet of fencing and is planning to make a rectangular pen for his dog. The length of the fence is 3 times as long as the width. If he uses all of the fencing, what are the dimensions of the pen? (lesson \(3-8\) )

Use the following information. In an ancient Chinese tradition, a chef stretches and folds dough to make long, thin noodles called so. After the first fold, he makes 2 noodles. He stretches and folds it a second time to make 4 noodles. Each time he repeats this process, the number of noodles doubles. Legendary chefs have completed as many as thirteen folds. How many noodles is this?

The table shows a relationship between times in the Pacific Standard Time Zone (PST), where Seattle is located, and the Eastern Standard Time Zone (EST), where New York is located. What time is it in New York if it is 6 P.M. in Seattle?

Write each fraction in simplest form. If the fraction is already in simplest form, write simplified. $$\frac{20}{53}$$

For each expression, use parentheses to group the numbers together and to group the powers with like bases together. Example: \(a \cdot 4 \cdot a^{3} \cdot 2=(4 \cdot 2)\left(a \cdot a^{3}\right)\) $$6 \cdot 7 \cdot k^{3}$$

Write ten million as a power of ten.