1Cademy - Simplifying $$5 + 2^3 + 3[6 - 3(4

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Order of Operations in Algebra

Example

Simplifying $5 + 2^3 + 3[6 - 3(4 - 2)]$

To simplify an expression with nested grouping symbols like $5 + 2^3 + 3[6 - 3(4 - 2)]$ , start from the innermost group and work outward following the order of operations:

Innermost Parentheses: Subtract inside the parentheses $(4 - 2) = 2$ , yielding $5 + 2^3 + 3[6 - 3(2)]$ .
Inside Brackets (Multiplication): Multiply $3(2) = 6$ , resulting in $5 + 2^3 + 3[6 - 6]$ .
Inside Brackets (Subtraction): Subtract $6 - 6 = 0$ , simplifying the brackets to $5 + 2^3 + 3[0]$ .
Exponents: Evaluate the power $2^3 = 8$ , giving $5 + 8 + 3[0]$ .
Multiplication: Multiply $3[0] = 0$ , yielding $5 + 8 + 0$ .
Addition: Add the remaining numbers to get the final answer: $13$ .