Evaluate each expression. See Example 5. -4(9 - 8) + (-7) (2)³

Verified step by step guidance

First, simplify the expression inside the parentheses. Calculate the value of \$9 - 8$.

Next, evaluate the exponentiation part of the expression. Calculate \$2^3$.

Multiply the results from the previous steps by their respective coefficients: multiply $-4$ by the result of \$9 - 8$, and multiply $-7$ by the result of $2^3$.

After performing the multiplications, add the two products together to combine the terms.

Finally, simplify the sum to get the value of the entire expression.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Order of Operations

The order of operations dictates the sequence in which mathematical operations are performed: parentheses first, then exponents, followed by multiplication and division, and finally addition and subtraction. This ensures consistent and correct evaluation of expressions.

Exponents

Exponents represent repeated multiplication of a base number. For example, 2³ means multiplying 2 by itself three times (2 × 2 × 2 = 8). Understanding exponents is essential for correctly simplifying expressions involving powers.

Multiplication of Negative Numbers

Multiplying negative numbers follows specific rules: a negative times a positive yields a negative, and a negative times a negative yields a positive. Recognizing these rules helps accurately simplify expressions with negative coefficients.

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