Question

In the following exercises, simplify each expression.

$2\left[1+3\left(10-2\right)\right]$

Short answer

The simplified value of the expression is 50.

Step-by-step solution

Step 1. Given Information

Given expression is$2\left[1+3\left(10-2\right)\right]$

The simplified value of the expression is to be determined.

Step 2. Simplifying expression using the Order of Operations

According to the Order of Operations, the expression is to be simplified in the order of:

Parenthesis

Exponents

Multiplication/Division (from left to right)

Addition/Subtraction (from left to right).

Using the above rules to simplify the expression:

$$\begin{gathered} 2\left[1+3\left(10-2\right)\right]=2\left[1+3\left(8\right)\right] \\ 2\left[1+3\left(10-2\right)\right]=2\left[1+24\right] \\ 2\left[1+3\left(10-2\right)\right]=2\left(25\right) \\ 2\left[1+3\left(10-2\right)\right]=50 \end{gathered}$$

Step 3. Conclusion

Therefore, the simplified value of the expression is 50.