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Destiny, Holly, Kayla, and Nate are trying to simplify the expression 4 without using a calculator. The following represent their ideas for how to do this. Check the boxes of those students whose ideas will lead to the correct answer (Hint: there is more than one). O Kayla: We should first raise 4 to the second power, and then take the cube root of what we get. O Holly: We should first take the square root of 4, and then raise what we get to the third power. Destiny: We should first raise 4 to the third power, and then take the square root of what we get. O Nate: We should first take the cube root of 4, and then raise what we get to the second power. Even though there is more than one way to correctly simplify this expression, whose method would you prefer to use and why?

Destiny, Holly, Kayla, and Nate are trying to simplify the expression 4 without using a calculator. The following represent their ideas for how to do this. Check the boxes of those students whose ideas will lead to the correct answer (Hint: there is more than one). O Kayla: We should first raise 4 to the second power, and then take the cube root of what we get. O Holly: We should first take the square root of 4, and then raise what we get to the third power. Destiny: We should first raise 4 to the third power, and then take the square root of what we get. O Nate: We should first take the cube root of 4, and then raise what we get to the second power. Even though there is more than one way to correctly simplify this expression, whose method would you prefer to use and why?

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Destiny, Holly, Kayla, and Nate are trying to simplify the expression 4 without using a calculator. The following represent their ideas for how to do this. Check the boxes of those students whose ideas will lead to the correct answer (Hint: there is more than one). O Kayla: We should first raise 4 to the second power, and then take the cube root of what we get. 0 Holly: We should first take the square root of 4, and then raise what we get to the third power. O Destiny: We should first raise 4 to the third power, and then take the square root of what we get. O Nate: We should first take the cube root of 4, and then raise what we get to the second power. Even though there is more than one way to correctly simplify this expression, whose method would you prefer to use and why?
Transcribed Image Text:Destiny, Holly, Kayla, and Nate are trying to simplify the expression 4 without using a calculator. The following represent their ideas for how to do this. Check the boxes of those students whose ideas will lead to the correct answer (Hint: there is more than one). O Kayla: We should first raise 4 to the second power, and then take the cube root of what we get. 0 Holly: We should first take the square root of 4, and then raise what we get to the third power. O Destiny: We should first raise 4 to the third power, and then take the square root of what we get. O Nate: We should first take the cube root of 4, and then raise what we get to the second power. Even though there is more than one way to correctly simplify this expression, whose method would you prefer to use and why?
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