Solve (2+1×2)²: Order of Operations with Square Numbers

Question

(2+1×2)2= (2+1\times2)^2=

Video Solution

Solution Steps

00:04 Let's solve this expression together!
00:07 Start with multiplication and division before you move to addition and subtraction.
00:13 Next, handle the numbers inside the parentheses. Then, square that result.
00:19 Finally, break down and calculate the power, and that's how you solve it!

Step-by-Step Solution

Let's solve the expression (2+1×2)2 (2+1\times2)^2 step-by-step, adhering to the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

Firstly, handle the expression inside the parentheses (2+1×2) (2+1\times2) :

  • Within the parentheses, according to PEMDAS, we first perform the multiplication 1×21\times2 which equals 22.
  • Now, the expression inside the parentheses becomes (2+2) (2+2) .
  • Next, perform the addition: 2+2=42+2=4.

Now the expression simplifies to 424^2.

Second, handle the exponent:

  • Calculate the square of 4: 42=164^2 = 16.

Thus, the final answer is 1616.

Answer

16