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The expression is now 2(10) – 42. Next, work with the exponents: 42 = 16, and the expression becomes 2(10) – 16. Multiplication is next: 2(10) = 20, and we are left with 20 – 16. Finally, subtract: 20 – 16 = 4. The expression 2(6 + 4) – 42 is equal to 4. TIP: If there is more than one operation inside a set of parentheses, use the order of operations to tell you which operation to perform first. In the expression (5 + 4(3)) – 2, addition and multiplication are both inside parentheses. Because multiplication comes before addition in the order of operations, we begin by multiplying 4 and 3.

Z5 3. b 3 4. 8m 5. 29c7 LIKE AND UNLIKE TERMS If two terms have the same base raised to the same exponent, then the two terms are called like terms. For instance, 2a2 and –6a2 are like terms, because both have a base of a with an exponent of 2. Even though the terms have different coefficients, they are still like terms. If two terms have different bases, or identical bases raised to different exponents, then the two terms are unlike terms. 7m and 7n are unlike because they have different bases.

The first set of parentheses contains addition: –5 + 12 = 7. The second set of parentheses contains subtraction: 21 – 13 = 8. The expression is now (7)(8). Multiply: (7)(8) = 56. 5. The left side of the expression contains parentheses within parentheses, so start with the innermost parentheses: (8 – 22). Because exponents come before subtraction, start with the exponent: 22 = 4, and the parentheses become (8 – 4). Subtract: 8 – 4 = 4. The expression is now (10 – 4)3. The subtraction is in parentheses, so handle it before multiplying: 10 – 4 = 6.

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