Final answer:
To solve the expression using the order of operations, follow the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction. Apply these steps to the given expression and simplify each operation correctly to find the solution.
Step-by-step explanation:
To solve the expression using the order of operations, we need to follow the acronym PEMDAS:
- Parentheses: Simplify the expression inside the parentheses first.
- Exponents: Evaluate any exponents in the expression.
- Multiplication and Division: Perform any multiplication or division from left to right.
- Addition and Subtraction: Finally, perform any addition or subtraction from left to right.
Applying these steps to the given expression:
6/5 + 8 (5/10 - 3/5)²
- Simplify inside the parentheses: 5/10 - 3/5 = 1/2 - 3/5 = 5/10 - 6/10 = -1/10.
- Square the result: (-1/10)² = 1/100.
- Multiply: 8 * 1/100 = 8/100 = 0.08.
- Divide: 6/5 + 0.08 = 1.2 + 0.08 = 1.28.
Therefore, the solution is 1.28.