Here are the essential concepts you must grasp in order to answer the question correctly.
Order of Operations
The order of operations is a set of rules that dictates the sequence in which mathematical operations should be performed to ensure consistent results. The common acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) helps remember this order. In evaluating expressions, following this order is crucial to obtaining the correct answer.
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Substitution
Substitution involves replacing variables in an expression with their corresponding numerical values. In this question, the variables p, q, and r are substituted with -4, 8, and -10, respectively. This step is essential for simplifying the expression and allows for the evaluation of the mathematical operations that follow.
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Exponents
Exponents represent repeated multiplication of a number by itself. For example, p² means p multiplied by itself. Understanding how to calculate exponents is vital in this expression, as it affects the overall value significantly, especially when negative numbers are involved, as squaring a negative number results in a positive value.
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