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# Math 115 Sample Test Chapter 10

Use radical notation to write the expression. Simplify if possible. Use rational exponents to simplify the following. Use rational exponents to write as a single radical expression. Use the properties of exponents to simplify the expression. Write with positive exponents. Simplify the radical expression. Assume that all variables represent positive real numbers. Use the product rule to multiply. Assume all variables represent positive real numbers Add or subtract. Assume all variables represent positive real numbers. Multiply, and then simplify if possible. Assume all variables represent positive real numbers. Rationalize the denominator and simplify. Assume that all variables represent positive real numbers. Solve.

 14) When an object is dropped to the ground from a height of h meters, the time it takes for the object to reach the ground is given by the equation , where t is measured in seconds. If an object hits the ground after falling for 2 seconds, find the height from which the object was dropped.  18) Scott set up a volleyball net in his backyard. One of the poles, which forms a right angle with the ground, is 7 feet high. To secure the pole, he attached a rope from the top of the pole to a stake 9 feet from the bottom of the pole. To the nearest tenth of a foot, find the length of the rope. Perform the indicated operation. Write the result in the form a + bi. Write in terms of i. Find the root. Use absolute value bars when necessary. Identify the domain of f(x). Then complete the accompanying table and graph f(x). Raise to the power or find the root. Assume that all variables represent positive numbers. Write with only positive
exponents.  