How to take the cube root of negative 64 using prime factorization, cuberoot(-64)

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Mathematics
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11th Grade - University
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Hard
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main concept introduced by the teacher regarding cube roots?
Finding a number that, when multiplied by itself once, results in the given number.
Finding a number that, when multiplied by itself four times, results in the given number.
Finding a number that, when multiplied by itself three times, results in the given number.
Finding a number that, when multiplied by itself twice, results in the given number.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is a correct example of a cube root calculation provided by the teacher?
5 * 5 * 5 = 100
4 * 4 * 4 = 64
3 * 3 * 3 = 18
2 * 2 * 2 = 16
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why does the teacher emphasize starting with smaller numbers when finding cube roots?
Because smaller numbers are easier to multiply.
Because smaller numbers are always the cube roots.
Because it helps in understanding the pattern of multiplication.
Because smaller numbers are less confusing.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the cube root of -64 according to the teacher's explanation?
-8
8
-4
4
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the teacher verify that -4 is the cube root of -64?
By multiplying -4 by itself twice.
By dividing -64 by -4.
By multiplying -4 by itself three times.
By adding -4 three times.
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