Exam 5: Exponents and Polynomials

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

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Perform the indicated operations. Perform the indicated operations.

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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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Subtract Subtract   from the sum of   and   . from the sum of Subtract   from the sum of   and   . and Subtract   from the sum of   and   . .

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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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Simplify the expression, and write your answer in scientific notation. Simplify the expression, and write your answer in scientific notation.

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Fill in the table. Fill in the table.

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Fill in the table. Fill in the table.

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

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Find the product. Write your answer in scientific notation. Find the product. Write your answer in scientific notation.

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Suppose you have two boxes, each of which is a cube. Suppose further that the length of a side of the second box is five times as long as the length of a side of the first box. If the length of a side of the first box is x , find the volume of each box. Then find the number of smaller boxes that will fit inside the larger box.

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

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Simplify. Simplify.

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Fill in the area of each small rectangle and square, and then add the results together to find the indicated product. Fill in the area of each small rectangle and square, and then add the results together to find the indicated product.    Fill in the area of each small rectangle and square, and then add the results together to find the indicated product.

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Write the expression with a single exponent. (Assume all variables are positive numbers.) Write the expression with a single exponent. (Assume all variables are positive numbers.)

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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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Divide. Divide.

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Multiply. Multiply.

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Multiply. Multiply.

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