Let's solve the expression \(\frac{\sqrt[3]{81}}{\sqrt[3]{3}}\) step-by-step.
1. Find the cube root of 81:
- The cube root of 81 is a number which, when raised to the power of 3, gives 81.
- Approximately, the cube root of 81 is \(4.3267487109222245\).
2. Find the cube root of 3:
- The cube root of 3 is a number which, when raised to the power of 3, gives 3.
- Approximately, the cube root of 3 is \(1.4422495703074083\).
3. Divide the cube root of 81 by the cube root of 3:
- Now we need to divide the cube root of 81 by the cube root of 3.
- Performing the division, we get \(\frac{4.3267487109222245}{1.4422495703074083} \approx 2.9999999999999996\).
Thus, the value of the expression [tex]\(\frac{\sqrt[3]{81}}{\sqrt[3]{3}}\)[/tex] is approximately [tex]\(3\)[/tex].
