Exam 4: Multiplication With Exponents

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A crystal ball with a diameter of 12 inches is being packaged for shipment. If the crystal ball is placed inside a circular cylinder with radius 6 inches and height 12 inches, how much volume will need to be filled with padding? (The volume of a sphere with radius r is A crystal ball with a diameter of 12 inches is being packaged for shipment. If the crystal ball is placed inside a circular cylinder with radius 6 inches and height 12 inches, how much volume will need to be filled with padding? (The volume of a sphere with radius r is   , and the volume of a right circular cylinder with radius r and height h is   .)  , and the volume of a right circular cylinder with radius r and height h is A crystal ball with a diameter of 12 inches is being packaged for shipment. If the crystal ball is placed inside a circular cylinder with radius 6 inches and height 12 inches, how much volume will need to be filled with padding? (The volume of a sphere with radius r is   , and the volume of a right circular cylinder with radius r and height h is   .)  .) A crystal ball with a diameter of 12 inches is being packaged for shipment. If the crystal ball is placed inside a circular cylinder with radius 6 inches and height 12 inches, how much volume will need to be filled with padding? (The volume of a sphere with radius r is   , and the volume of a right circular cylinder with radius r and height h is   .)

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Divide. Assume all variables represent positive numbers. Divide. Assume all variables represent positive numbers.

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Divide the polynomial by Divide the polynomial by   .  . Divide the polynomial by   .

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

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Multiply. Multiply.

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Simplify. Simplify.

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

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Divide the expression by Divide the expression by   .  . Divide the expression by   .

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Perform the indicated operations. Perform the indicated operations.

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Simplify. Simplify.

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Given the polynomial. Given the polynomial.   Identify the polynomial. __________ Give the degree. __________ Identify the polynomial. __________ Give the degree. __________

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The displacement, in cubic inches, of a car engine is given by the formula The displacement, in cubic inches, of a car engine is given by the formula   where s is the stroke and b is the bore, as shown in the figure, and c is the number of cylinders. Calculate the engine displacement for the Mitsubishi Eclipse: 6 cylinders, 3.59 inches of bore, 2.99 inches of stroke. Use 3.14 to approximate   . Please round the answer to the nearest whole.  where s is the stroke and b is the bore, as shown in the figure, and c is the number of cylinders. Calculate the engine displacement for the Mitsubishi Eclipse: 6 cylinders, 3.59 inches of bore, 2.99 inches of stroke. Use 3.14 to approximate The displacement, in cubic inches, of a car engine is given by the formula   where s is the stroke and b is the bore, as shown in the figure, and c is the number of cylinders. Calculate the engine displacement for the Mitsubishi Eclipse: 6 cylinders, 3.59 inches of bore, 2.99 inches of stroke. Use 3.14 to approximate   . Please round the answer to the nearest whole.  . Please round the answer to the nearest whole. The displacement, in cubic inches, of a car engine is given by the formula   where s is the stroke and b is the bore, as shown in the figure, and c is the number of cylinders. Calculate the engine displacement for the Mitsubishi Eclipse: 6 cylinders, 3.59 inches of bore, 2.99 inches of stroke. Use 3.14 to approximate   . Please round the answer to the nearest whole.

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Multiply. Multiply.

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Combine the terms. Combine the terms.

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Write an expression for the sum of the squares of two consecutive integers. Simplify the expression.

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Given the polynomial. Given the polynomial.   Identify the polynomial. __________ Give the degree. __________ Identify the polynomial. __________ Give the degree. __________

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

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Multiply binomials using the FOIL method. Multiply binomials using the FOIL method.

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Simplify the expression. Simplify the expression.

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

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