Exam 5: Exponents and Polynomials

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Perform the indicated operations. Perform the indicated operations.

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Simplify the expression. Leave your answer in terms of exponents. Simplify the expression. Leave your answer in terms of exponents.

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Divide. Divide.

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Multiply and simplify. Multiply and simplify.

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

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Add Add   to   . to Add   to   . .

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The width and length of a rectangle are given by two consecutive even integers. The width of the rectangle is less than its length. Write an expression for the area of the rectangle.

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Simplify. Simplify.

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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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Divide. Divide.

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

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

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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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Write the number in expanded form. Write the number in expanded form.

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Fill in the missing terms in the numerator, and then use long division to find the quotients. Fill in the missing terms in the numerator, and then use long division to find the quotients.

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

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Perform the indicated operation. Perform the indicated operation.

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

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