Exam 5: Exponents and Polynomials

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Divide. Divide.

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Simplify the numerator, and then divide. Simplify the numerator, and then divide.

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Use the property Use the property   to simplify the expression.  to simplify the expression. Use the property   to simplify the expression.

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Multiply binomials using the COLUMN method. Multiply binomials using the COLUMN method.

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Write the number in scientific notation. Write the number in scientific notation.

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Simplify. Simplify.

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Simplify. Write the answer with positive exponents only. Simplify. Write the answer with positive exponents only.

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Identify the polynomial as a trinomial, binomial, or monomial, and give the degree. Identify the polynomial as a trinomial, binomial, or monomial, and give the degree.

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Perform the indicated operations. Perform the indicated operations.

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Perform the division (find the quotient). Perform the division (find the quotient).

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Write the expression with a positive exponent, and then simplify, when possible. Write the expression with a positive exponent, and then simplify, when possible.

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Simplify. Simplify.

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Simplify the expression. An answer with exponents should contain positive exponents only. Simplify the expression. An answer with exponents should contain positive exponents only.

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Suppose you have two squares, one of which is larger than the other. Suppose further that the side of the larger square is five times as long as the side of the smaller square. If the length of the side of the smaller square is x , find the area of each square. Then find the number of smaller squares it will take to cover the larger square.

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Simplify. Simplify.

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Divide. Divide.

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Multiply by applying the distributive property. Multiply by applying the distributive property.

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Multiply. Multiply.

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Combine the terms. Combine the terms.

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Multiply and simplify. Multiply and simplify.

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