To find the cube root of 81, we are looking for a number that, when multiplied by itself three times (raised to the power of 3), equals 81.
Calculating the cube root of 81 gives us:
\[ \sqrt[3]{81} = 3\sqrt[3]{3^4} = 3 \cdot \sqrt[3]{27} \approx 4.326 \]
Since none of the options provided (9, 27, -9) are correct, we can conclude:
The correct answer is that the cube root of 81 is approximately 4.326, and it doesn't match the provided options.
In the context of your options:
- 9 is incorrect because \(9^3 = 729\).
- 27 is incorrect because \(27^3 = 19683\).
- -9 is also incorrect.
Thus, none of the provided responses are correct for the cube root of 81.