Find the Domain 27^(4/3)a9^(-1/2)a32^(2/5)

Problem

27(4/3)*a⋅9(−1/2)*a⋅32(2/5)

Solution

1. Identify the type of expression provided. The expression is a product of constants and variables, specifically a polynomial in terms of a

2. Analyze the components for restrictions. The constants 27(4/3) 9(−1/2) and 32(2/5) are all well-defined real numbers.

3. Check for operations that restrict the domain, such as division by zero, square roots of negative numbers, or logarithms of non-positive numbers.

4. Determine that since the expression is a polynomial of the form k⋅a2 (where k is a constant), it is defined for all real values of a

Final Answer

Domain: *(−∞,∞)

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