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

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Combine the expressions. (Assume the variables are nonnegative numbers.) Combine the expressions. (Assume the variables are nonnegative numbers.)

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Rationalize the denominator in the following: Rationalize the denominator in the following: A) B) C) D) E)


A) Rationalize the denominator in the following: A) B) C) D) E)
B) Rationalize the denominator in the following: A) B) C) D) E)
C) Rationalize the denominator in the following: A) B) C) D) E)
D) Rationalize the denominator in the following: A) B) C) D) E)
E) Rationalize the denominator in the following: A) B) C) D) E)

F) B) and E)
G) A) and E)

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Combine the expressions. Combine the expressions. A) B) C) D) E)


A) Combine the expressions. A) B) C) D) E)
B) Combine the expressions. A) B) C) D) E)
C) Combine the expressions. A) B) C) D) E)
D) Combine the expressions. A) B) C) D) E)
E) Combine the expressions. A) B) C) D) E)

F) A) and D)
G) A) and E)

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

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Rationalize the denominator in the following expression. (Assume all expressions appearing under a square root symbol represent nonnegative numbers.) Rationalize the denominator in the following expression. (Assume all expressions appearing under a square root symbol represent nonnegative numbers.) A) B) C) D) E)


A) Rationalize the denominator in the following expression. (Assume all expressions appearing under a square root symbol represent nonnegative numbers.) A) B) C) D) E)
B) Rationalize the denominator in the following expression. (Assume all expressions appearing under a square root symbol represent nonnegative numbers.) A) B) C) D) E)
C) Rationalize the denominator in the following expression. (Assume all expressions appearing under a square root symbol represent nonnegative numbers.) A) B) C) D) E)
D) Rationalize the denominator in the following expression. (Assume all expressions appearing under a square root symbol represent nonnegative numbers.) A) B) C) D) E)
E) Rationalize the denominator in the following expression. (Assume all expressions appearing under a square root symbol represent nonnegative numbers.) A) B) C) D) E)

F) A) and B)
G) A) and C)

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Rationalize the denominator in the following expression. (Assume all expressions appearing under a square root symbol represent nonnegative numbers.) Rationalize the denominator in the following expression. (Assume all expressions appearing under a square root symbol represent nonnegative numbers.)

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Multiply. Multiply.

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

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Find the following root, if possible. Find the following root, if possible. A) 0.64 B) 0.3 C) 0.16 D) 0.4 E) Not a real number


A) 0.64
B) 0.3
C) 0.16
D) 0.4
E) Not a real number

F) D) and E)
G) A) and E)

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Find the quotient. Write the answer in standard form for complex numbers. Find the quotient. Write the answer in standard form for complex numbers. A) B) C) D) E)


A) Find the quotient. Write the answer in standard form for complex numbers. A) B) C) D) E)
B) Find the quotient. Write the answer in standard form for complex numbers. A) B) C) D) E)
C) Find the quotient. Write the answer in standard form for complex numbers. A) B) C) D) E)
D) Find the quotient. Write the answer in standard form for complex numbers. A) B) C) D) E)
E) Find the quotient. Write the answer in standard form for complex numbers. A) B) C) D) E)

F) B) and D)
G) None of the above

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Find the product. Find the product.

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Solve the equation. Solve the equation.

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Use the properties of exponents to simplify the following as much as possible. Assume all bases are positive. Use the properties of exponents to simplify the following as much as possible. Assume all bases are positive.

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Multiply. (Assume the variables represent nonnegative real numbers.) Multiply. (Assume the variables represent nonnegative real numbers.) A) B) C) D) E)


A) Multiply. (Assume the variables represent nonnegative real numbers.) A) B) C) D) E)
B) Multiply. (Assume the variables represent nonnegative real numbers.) A) B) C) D) E)
C) Multiply. (Assume the variables represent nonnegative real numbers.) A) B) C) D) E)
D) Multiply. (Assume the variables represent nonnegative real numbers.) A) B) C) D) E)
E) Multiply. (Assume the variables represent nonnegative real numbers.) A) B) C) D) E)

F) D) and E)
G) B) and C)

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The time t in seconds it takes an object to fall d feet is given by the following equation. The time t in seconds it takes an object to fall d feet is given by the following equation. An object took 25 seconds to fall to the ground. From what distance must it have been dropped? __________ feet An object took 25 seconds to fall to the ground. From what distance must it have been dropped? __________ feet

Correct Answer

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Combine the expressions. Combine the expressions.

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Rationalize the denominator in the following expression. (Assume all expressions appearing under a square root symbol represent nonnegative numbers.) Rationalize the denominator in the following expression. (Assume all expressions appearing under a square root symbol represent nonnegative numbers.) A) B) C) D) E)


A) Rationalize the denominator in the following expression. (Assume all expressions appearing under a square root symbol represent nonnegative numbers.) A) B) C) D) E)
B) Rationalize the denominator in the following expression. (Assume all expressions appearing under a square root symbol represent nonnegative numbers.) A) B) C) D) E)
C) Rationalize the denominator in the following expression. (Assume all expressions appearing under a square root symbol represent nonnegative numbers.) A) B) C) D) E)
D) Rationalize the denominator in the following expression. (Assume all expressions appearing under a square root symbol represent nonnegative numbers.) A) B) C) D) E)
E) Rationalize the denominator in the following expression. (Assume all expressions appearing under a square root symbol represent nonnegative numbers.) A) B) C) D) E)

F) A) and B)
G) D) and E)

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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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Combine the complex numbers. Combine the complex numbers. A) B) C) D) E)


A) Combine the complex numbers. A) B) C) D) E)
B) Combine the complex numbers. A) B) C) D) E)
C) Combine the complex numbers. A) B) C) D) E)
D) Combine the complex numbers. A) B) C) D) E)
E) Combine the complex numbers. A) B) C) D) E)

F) C) and E)
G) D) and E)

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