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Mathematics
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Elementary and Intermediate Algebra Study Set 1
Quiz 9: Rational Exponents
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Question 101
Multiple Choice
Use a calculator to find a decimal approximation for
Compare it to decimal approximations for
and
Give answers to three decimal places.
Question 102
Short Answer
Use Property 1 for Radicals to write the expression in simplified form. (Assume the variables are nonnegative numbers.)
Question 103
Multiple Choice
Use a calculator to find decimal approximations for
and
. Give answers to three decimal places.
Question 104
Short Answer
Use Property 1 for Radicals to write the expression in simplified form. (Assume the variables are nonnegative numbers.)
Question 105
Short Answer
Rationalize the denominator in the following expression.
Question 106
Multiple Choice
Refer to the diagram of a square pyramid below. Find the ratio of the height h of the pyramid to the altitude a .
Question 107
Short Answer
Use Property 1 for Radicals to write the expression in simplified form. (Assume the variables are nonnegative numbers.)
Question 108
Multiple Choice
A triangle is equilateral if it has three equal sides. The triangle in the figure is equilateral with each side of length 2 x . Find the ratio of a side to the height.
Question 109
Short Answer
Use Property 1 for Radicals to write the expression in simplified form. (Assume the variables are nonnegative numbers.)
Question 110
Short Answer
Simplify the expression. Do not assume that the variables represent positive numbers.
Question 111
Short Answer
Simplify the expression.
Question 112
Short Answer
Use Property 1 for Radicals to write the expression in simplified form.
Question 113
Short Answer
Rationalize the denominator in the following expression.
Question 114
Short Answer
Rationalize the denominator in the following expression.
Question 115
Short Answer
Use Property 1 for Radicals to write the expression in simplified form.
Question 116
Multiple Choice
Combine the expressions. (Assume the variables are nonnegative numbers.)
Question 117
Short Answer
Simplify the expression. Do not assume that the variables represent positive numbers.
Question 118
Short Answer
Use Property 1 for Radicals to write the expression in simplified form.
Question 119
Multiple Choice
Combine the expressions.