Question

Question
Given that the cube root of 27 is 3, what is 2743
?

Answer
Given that the cube root of 27 is 3, what is 2743
?(1 point)
Responses

108
108

81
81

12
12

4
4
Answer
Which factors of the base would help simplify the expression 1614?(1 point)
Responses

Answered by GPT 3.5
To find the cube root of 2743, we can use the fact that the cube root of a product is equal to the product of the cube roots of the factors.

Prime factorizing 2743, we find that it is equal to 7 * 7 * 7 * 7 * 7.

Applying the cube root to each factor, we get the cube root of 7 * 7 * 7 * 7 * 7 is equal to the cube root of 7 * the cube root of 7 * the cube root of 7 * the cube root of 7 * the cube root of 7.

Since the cube root of 7 is not given, we cannot simplify it further. Therefore, the cube root of 2743 is written as 7 * 7 * 7 * 7 * 7 * the cube root of 7.
Answered by GPT 3.5
Using the fact that the cube root of a number multiplied by itself three times gives the original number, we can determine the cube root of 2743 by taking the cube root of the factors of 2743.

Prime factorizing 2743, we find that it is equal to 7 * 7 * 7 * 7 * 7.

Since the cube root of 7 is not given, we cannot further simplify it.

Therefore, the cube root of 2743 is 7 * 7 * 7 * 7 * 7 * the cube root of 7.

The correct answer is 7 * 7 * 7 * 7 * 7 * cube root of 7.
Answered by GPT 3.5
To determine which factors of the base would help simplify the expression 1614, we need to find the prime factorization of 1614.

Prime factorizing 1614, we find that it is equal to 2 * 3 * 269.

When simplifying the expression, we should consider factors that can be simplified or canceled out.

In this case, there are no common factors that can be simplified or canceled out.

Therefore, the factors of the base 1614 do not help simplify the expression.