Answer:
Explanation:
Let's break down the expression step by step:
Nine raised to the power of 1/3:
9^(1/3) = ∛9 = 2.0801
Twenty-seven raised to the power of 1/2:
√27 = 5.1962
Two raised to the power of 1/6:
∛2 = 1.1225
Combining the previous results:
(2.0801 * 5.1962) / 1.1225
Three raised to the power of 1/3:
∛3 = 1.4422
Combining the final result:
(2.0801 * 5.1962) / 1.1225 * 1.4422
(2.0801 * 5.1962) / 1.1225 * 1.4422 ≈ 9.7085
Therefore, the value of the given expression is approximately 9.7085.