Question

Simplify the expression using the order of operations. StartFraction 8 left parenthesis 4 plus 3 right parenthesis plus 2 left parenthesis 7 minus 5 right parenthesis Over 5 left parenthesis 7 minus 3 right parenthesis minus 2 Superscript 4 EndFraction

Answer 1

To simplify the expression, we follow the order of operations (PEMDAS) and perform the calculations step-by-step. The simplified expression is 10.

Step-by-step explanation:

To simplify the expression using the order of operations, we need to follow the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). Let's break it down step-by-step:

1. Solve the expression inside the parentheses: StartFraction 8 left parenthesis 4 plus 3 right parenthesis plus 2 left parenthesis 7 minus 5 right parenthesis Over 5 left parenthesis 7 minus 3 right parenthesis minus 2 Superscript 4 EndFraction = StartFraction 8 times 7 plus 2 times 2 EndFraction over StartFraction 5 times 4 minus 2 EndFraction
2. Simplify the multiplication and subtraction inside the parentheses: StartFraction 8 times 7 plus 4 EndFraction over StartFraction 5 times 4 minus 2 EndFraction = StartFraction 56 plus 4 EndFraction over StartFraction 20 minus 2 EndFraction
3. Continue simplifying: StartFraction 56 plus 4 EndFraction over StartFraction 20 minus 2 EndFraction = StartFraction 60 EndFraction over StartFraction 18 EndFraction
4. Divide the two fractions: StartFraction 60 EndFraction over StartFraction 18 EndFraction = 60 divided by 18 = 10

Therefore, the simplified expression is 10.

Answer 2

Answer:We get the answer as 15 after simplifying the expression.

Step-by-step explanation:

Given:

Expression is

We need to simplify the expression.

First we will solve for the exponent term we get;

Since there is a grouping symbol, we must perform all calculations in the parenthesis first, using PEMDAS for any operations in that expression we get;

Ignoring the addition and subtraction, we can complete the multiplication operation next we get;

Now Performing addition Subtraction we get;

Hence We get the answer as 15 after simplifying the expression.

Step-by-step explanation: