Find the Domain (-4xy^8)^3

Problem

(−4*x*y8)3

Solution

1. Identify the type of expression provided. The expression (−4*x*y8)3 is a polynomial in terms of two variables, x and y

2. Analyze the operations involved. The expression involves multiplication and raising variables to positive integer powers (3, 1, and 8).

3. Determine if there are any restrictions. Polynomials do not contain divisions by zero, square roots of negative numbers, or logarithms of non-positive numbers.

4. Conclude the domain. Since there are no restricted operations, the variables x and y can be any real number.

Final Answer

Domain: *{(x,y)|x∈ℝ,y∈ℝ}

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