Learn Before
Simplifying
To simplify this expression, the order of operations dictates that the exponent must be resolved before any multiplication or division:
- Exponents first: Evaluate . The expression becomes .
- Multiply: Moving left to right, compute the multiplication first: (different signs produce a negative product). The expression becomes .
- Divide: Compute the final quotient: (same signs produce a positive quotient).
The simplified result is .
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Intermediate Algebra @ OpenStax
Ch.1 Foundations - Intermediate Algebra @ OpenStax
Algebra
Related
A retail manager is reviewing a loss-prevention report that uses the formula 8(-9) / (-2)^3 to calculate quarterly shrinkage. According to the standard order of operations, which part of the expression must be evaluated first?
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Calculating a Performance Metric
Documentation of Arithmetic Sign Rules
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Auditing a Logistics Efficiency Formula
Simplifying
An operations manager is using the formula to calculate a productivity index. After correctly evaluating the exponent and the multiplication, the manager arrives at the final division step: . Which arithmetic rule should the manager recall to determine the sign of the final result?
A logistics coordinator is using the formula $8(-9) \div (-2)^3(-2)^3(-2)^3$?
Simplifying
Learn After
In a professional audit of a financial calculation, you are verifying the intermediate steps of a specific formula. Match each component of the expression with its correctly simplified value based on the standard order of operations.
A technical analyst is processing a data set where a specific variable is defined by the expression . According to the order of operations, what is the simplified value of this expression?
A manufacturing analyst is reviewing a calculation for a production report that includes the expression . Arrange the following steps in the correct sequence to simplify this expression according to the standard order of operations.
A quality control inspector is reviewing a technical formula used for machine calibration: . True or False: According to the order of operations, the exponent portion of this expression, , simplifies to .
A data analyst is manually verifying a batch processing script that calculates a weighting factor using the expression . According to the standard order of operations, the final simplified value of this expression is ____.