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Evaluating when and
To evaluate a variable expression involving negative numbers and multiple variables, substitute the given values, using parentheses to preserve the operations and signs, and simplify using the order of operations.
For example, to evaluate when and :
- Substitute: Replace with and with . Use parentheses to clearly indicate multiplication and negative bases: .
- Simplify exponents: Evaluate and . The expression becomes .
- Multiply: Perform all multiplications from left to right: , , and . The expression becomes .
- Subtract: The subtraction becomes . The expression becomes .
- Add: .
The final evaluated result is .
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Intermediate Algebra @ OpenStax
Ch.1 Foundations - Intermediate Algebra @ OpenStax
Algebra
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