Find the Domain (5p^3q^2)(2p^4q)^2

Problem

(5*p3*q2)*(2*p4*q)2

Solution

1. Identify the type of expression. The expression is a polynomial in terms of the variables p and q

2. Analyze for restrictions. Polynomials do not contain any operations that restrict the input values, such as division by zero, square roots of negative numbers, or logarithms of non-positive numbers.

3. Determine the domain. Since the expression is defined for all real values of p and q the domain consists of all real numbers for both variables.

Final Answer

Domain:{(p,q)|p∈ℝ,q∈ℝ}

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