Chat with AIExam 9: Rational Exponents
Exam 1: Notation and Symbols329 Questions
Exam 2: Simplifying Expressions285 Questions
Exam 3: Paired Data and Graphing Ordered Pairs217 Questions
Exam 4: Multiplication With Exponents300 Questions
Exam 5: The Greatest Common Factor and Factoring by Grouping295 Questions
Exam 6: Reducing Rational Expressions to Lowest Terms263 Questions
Exam 7: Review of Solving Equations262 Questions
Exam 8: The Slope of a Line190 Questions
Exam 9: Rational Exponents264 Questions
Exam 10: Completing the Square187 Questions
Exam 11: Exponential Functions226 Questions
Exam 12: The Circle95 Questions
Exam 13: Sequences190 Questions
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Simplify the expression. Do not assume that the variables represent positive numbers. 
(Short Answer)
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(72) Refer to the diagram of a square pyramid below. Find the ratio of the height h of the pyramid to the altitude a . 
(Multiple Choice)
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Use the properties of exponents to simplify the following as much as possible. Assume all bases are positive. 
(Short Answer)
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(87) Rectangle ACEF is a golden rectangle. If side AC is 6 inches, show that the smaller rectangle BDEF is also a golden rectangle. 
(Short Answer)
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(86) Multiply. (Assume the variable represents a nonnegative real number.) 
(Multiple Choice)
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(82) 
a = __________
Simplify the expression. Do not assume that the variables represent positive numbers. 
(Multiple Choice)
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(74) Use Property 1 for Radicals to write the expression in simplified form. 
(Multiple Choice)
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(68) The maximum speed ( v ) that an automobile can travel around a curve of radius r without skidding is given by the equation 
where v is in miles per hour and r is measured in feet. What is the maximum speed a car can travel around a curve with a radius of 490 feet without skidding? __________ mph
where v is in miles per hour and r is measured in feet. What is the maximum speed a car can travel around a curve with a radius of 490 feet without skidding? __________ mph (Short Answer)
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(75) The length of time ( T ) in seconds it takes the pendulum of a grandfather clock to swing through one complete cycle is given by the formula 
where L is the length, in feet, of the pendulum, and 
is approximately 
. How long must the pendulum be if one complete cycle takes 6 seconds? L = __________ feet
where L is the length, in feet, of the pendulum, and is approximately . How long must the pendulum be if one complete cycle takes 6 seconds? L = __________ feet (Short Answer)
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(72) Multiply. (Assume all expressions appearing under a square root symbol represent nonnegative numbers.) 
(Multiple Choice)
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(74) If an object is dropped from the top of a 361-foot building, the amount of time t (in seconds) that it takes for the object to be h feet from the ground is given by the formula 
How many seconds does it take before the object is 311 feet from the ground? How many seconds does it take to reach the ground? (When it is on the ground, h is 0.)
How many seconds does it take before the object is 311 feet from the ground? How many seconds does it take to reach the ground? (When it is on the ground, h is 0.) (Multiple Choice)
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(76) 
Combine the expressions. (Assume the variables are nonnegative numbers.) 
(Multiple Choice)
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(84) 
x = __________Use Property 1 for Radicals to write the expression in simplified form. (Assume the variables are nonnegative numbers.) 
(Short Answer)
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