Question

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

108
108

12
12

4
4

81

Answer 1

The expression "2743" seems to imply we're looking for the cube root of 27 raised to the power of 43. Since you already know that the cube root of 27 is 3, we can represent this mathematically as follows:

1. The cube root of 27 is \(3\).
2. We can express \(27^{43/3}\) as \((27^{1/3})^{43} = 3^{43}\).

Since \(3^{43}\) is a very large number, it seems you may be referring to one of the options given (108, 12, 4, or 81) in a different context. Unfortunately, there's no direct computation here that gives either of those numbers from \(3^{43}\).

If we assume \(2743\) just means \(27^4\):

\[
27^4 = (3^3)^4 = 3^{12}
\]

Calculating \(3^{12} = 531441\), which still doesn't match any options.

If this was meant as a simple calculation and just calling for another interpretation or a specific context, please clarify. Otherwise, based on what's currently interpreted, none of the options match the expected mathematical result.