Final answer:
To evaluate the given expression 1/5(3+2+5)², first sum the numbers inside the parentheses (10), square this sum (100), and then multiply by 1/5 to find that the expression equals 20.
Step-by-step explanation:
The question asks to evaluate the expression given as 1/5(3+2+5)². To solve this, we should first perform the operation within the parentheses, then apply the exponent, and finally multiply by the fraction.
- Start by adding the numbers inside the parentheses: 3 + 2 + 5 = 10.
- Next, raise the result to the power of 2: 10² = 100.
- Finally, multiply by 1/5: 1/5 * 100 = 20.
The expression evaluates to 20.