Simplify. 2-(3^3+16 ÷(-2)^3)

Name: Problem 47, Chapter 15: Elementary and Intermediate Algebra
Uploaded: 2020-05-19T00:52:34-08:00
Duration: 1 min 2 s
Channel: Julie Silva
Description: Simplify. 2-(3^3+16 ÷(-2)^3)

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Key Concepts

Order of Operations

This concept, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), dictates the sequence in which parts of an arithmetic expression must be evaluated to ensure a consistent result.

Exponentiation

Exponentiation involves raising a number to a given power, which must be computed before performing other operations such as multiplication or division in an expression.

Division

Division is the arithmetic process of determining how many times one number is contained within another, and it must be carried out following the evaluation of any exponents or calculations within parentheses.

Handling Negative Numbers

This concept covers the rules for performing operations with negative numbers, including understanding how negative bases behave when raised to a power and how they interact with division and addition or subtraction.

Arithmetic Simplification

Arithmetic simplification involves combining like terms and computing the results of individual operations, ultimately reducing the expression to its simplest form by following the proper order of operations.

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