Exam 9: Rational Exponents

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Find the following root, if possible. Find the following root, if possible.

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Combine the expressions. Combine the expressions.

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Multiply. (Assume the variables represent nonnegative real numbers.) Multiply. (Assume the variables represent nonnegative real numbers.)

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Multiply. Multiply.

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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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Use Property 1 for Radicals to write the expression in simplified form. (Assume the variables are nonnegative numbers.) Use Property 1 for Radicals to write the expression in simplified form. (Assume the variables are nonnegative numbers.)

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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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Find the product. Find the product.

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Multiply. (Assume the variables represent nonnegative real numbers.) Multiply. (Assume the variables represent nonnegative real numbers.)

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Simplify the expression. Assume all variables represent nonnegative numbers. Simplify the expression. Assume all variables represent nonnegative numbers.

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Divide. Divide.

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Multiply. (Assume the variable represents a nonnegative real number.) Multiply. (Assume the variable represents a nonnegative real number.)

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Simplify the expression to a single fraction. Simplify the expression to a single fraction.

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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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Simplify the expression. Remember, negative exponents give reciprocals. Simplify the expression. Remember, negative exponents give reciprocals.

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Solve the equation. Solve the equation.

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Solve the equation. Solve the equation.

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Multiply. Multiply.

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Multiply. Multiply.

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Use the rational exponent theorem to simplify the following as much as possible. Use the rational exponent theorem to simplify the following as much as possible.

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