Exam 9: Rational Exponents

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Solve the equation. Solve the equation.

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Simplify the expression. Do not assume that the variables represent positive numbers. Simplify the expression. Do not assume that the variables represent positive numbers.

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Rationalize the denominator in the following: Rationalize the denominator in the following:

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Rationalize the denominator in the following: Rationalize the denominator in the following:

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Combine the expressions. Combine the expressions.

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Solve the equation. Solve the equation.   x = __________ x = __________

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Write the number in terms of i , and simplify as much as possible. Write the number in terms of i , and simplify as much as possible.

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Find the product. Find the product.

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Use Property 1 for Radicals to write the expression in simplified form. Use Property 1 for Radicals to write the expression in simplified form.

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Multiply. (Assume all expressions appearing under a square root symbol represent nonnegative numbers.) Multiply. (Assume all expressions appearing under a square root symbol represent nonnegative numbers.)

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Write the number in terms of i , and simplify as much as possible. Write the number in terms of i , and simplify as much as possible.

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Find x and y so that the following equation is true. Find x and y so that the following equation is true.

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Factor the expression as if it were a trinomial. Factor the expression as if it were a trinomial.

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Combine the complex numbers. Combine the complex numbers.

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Divide. Divide.

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Simplify as much as possible. Simplify as much as possible.

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Multiply. Multiply.

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If you are at a point If you are at a point   miles above the surface of the Earth, the distance you can see (in miles) is approximated by the equation   . How far can you see from a point that is 2 miles above the surface of the Earth? miles above the surface of the Earth, the distance you can see (in miles) is approximated by the equation If you are at a point   miles above the surface of the Earth, the distance you can see (in miles) is approximated by the equation   . How far can you see from a point that is 2 miles above the surface of the Earth? . How far can you see from a point that is 2 miles above the surface of the Earth?

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Simplify as much as possible. Simplify as much as possible.

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Simplify as much as possible. Simplify as much as possible.

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