To determine To simplify: the given numerical expression ( 5 − 3 ⋅ 2 ) 2 − 6 . Explanation Given information: ( 5 − 3 ⋅ 2 ) 2 − 6 Concept Involved: PEMDAS is an acronym for the words parenthesis, exponents, multiplication, division, addition, subtraction. Given two or more operations in a single expression, the order of the letters in PEMDAS tells you what to calculate first, second, third and so on, until the calculation is complete Calculation: Steps Description ( 5 − 3 ⋅ 2 ) 2 − 6 ( 5 − 3 ⋅ 2 _ ) 2 − 6 = ( 5 − 6 _ ) 2 − 6 We need to perform the operation inside the parenthesis, Multiplying 3 ⋅ 2 inside the parenthesis ( 5 − 6 _ ) 2 − 6 = ( − 1 ) 2 _ − 6 We need to perform the operation inside the parenthesis, Adding 5 − 6 inside the parenthesis ( − 1 ) 2 _ − 6 = 1 _ − 6 We need to perform the exponent, so finding the value of ( − 1 ) 2 1 − 6 _ = − 5 We need to add the numbers to get the final answer Conclusion: The value of numerical expression ( 5 − 3 ⋅ 2 ) 2 − 6 is given by: − 5

1st Edition

ISBN: 9781938168383

Author: Jay Abramson

Publisher: OpenStax

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Textbook Question

Chapter 1, Problem 1RE

For the following exercises, perform the given operations.

$1. ( 5 − 3 ⋅ 2 ) 2 − 6$

Expert Solution & Answer

To determine

To simplify:

the given numerical expression $(5−3⋅2)2−6$ .

Explanation of Solution

Given information:

$(5−3⋅2)2−6$

Concept Involved:

PEMDAS is an acronym for the words parenthesis, exponents, multiplication, division, addition, subtraction. Given two or more operations in a single expression, the order of the letters in PEMDAS tells you what to calculate first, second, third and so on, until the calculation is complete

Calculation:

Steps	Description $(5−3⋅2)2−6$
$(5−3⋅2_)2−6=(5− 6 _)2−6$	We need to perform the operation inside the parenthesis, Multiplying $3⋅2$ inside the parenthesis
$(5−6_)2−6= (−1)2 _−6$	We need to perform the operation inside the parenthesis, Adding $5−6$ inside the parenthesis
$(−1)2 _−6= 1 _−6$	We need to perform the exponent, so finding the value of $(−1)2$
$1−6 _=−5$	We need to add the numbers to get the final answer

Conclusion:

The value of numerical expression $(5−3⋅2)2−6$ is given by: $−5$

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For the following exercises, perform the given operations. 1. ( 5 − 3 ⋅ 2 ) 2 − 6

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