Question

Evaluate the expression.

4 + 3 × [6 ÷ (4 + 2)]2

Answer 1

The expression 4 + 3 × [6 ÷ (4 + 2)]2 evaluates to 7, following the order of operations (PEMDAS).

Step-by-step explanation:

To evaluate the expression 4 + 3 × [6 ÷ (4 + 2)]2, we need to follow the order of operations, commonly known by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Here's how we do it step by step:

1. First, solve the expression inside the parentheses: (4 + 2), which is 6.
2. Next, perform the division within the brackets: 6 ÷ 6, which equals 1.
3. Then apply the exponent: [1]2, which simply remains 1 because any number to the power of 2 is itself multiplied by itself, and 1×1 is 1.
4. Now multiply this result by 3: 3 × 1, which equals 3.
5. Finally, add this result to 4: 4 + 3, which gives us 7.

Therefore, the evaluated result of the expression is 7.

Answer 2

7

Step-by-step explanation:

4 + 3 × [6 ÷ (4 + 2)]^2

= 4 + 3 × [6 ÷ 6]^2

=4 + 3 × 1^2

=4 + 3 × 1

=4 + 3

=7