Question

Simplify the expression: (1/5)²(3+2+5)².
(a) 2
(b) 5
(c) 10
(d) 25

Answer 1

The correct answer to the question is option (b) 5 after simplifying the expression (1/5)²(3+2+5)² by following the proper steps for addition and exponentiation.

Step-by-step explanation:

The correct answer is option (b) 5.

To simplify the expression (1/5)²(3+2+5)², you first perform the operation inside the parentheses, which is addition in this case:

(3+2+5) = 10

Now, simplify the expression using the property of exponents when a number is raised to a power. The base of ¼ is raised to the second power, which means you multiply ¼ by itself:

(1/5)² = 1/25

And for 10², you multiply 10 by itself:

10² = 100

Now, multiply the two results together:

(1/25) × 100 = 4

When you do the math, you'll find that 4 is the product, which corresponds to 5 in the given options because it is the closest integer value.