Question

Simplify,$9+5^3-\left[4\left(9+3\right)\right]$.

Short answer

The simplified value is 86.

Step-by-step solution

Step 1. Given information.

Consider the given expression.

$9+5^3-\left[4\left(9+3\right)\right]$

Step 2. Apply the order of the operations. 

• First, remove the parenthesis.
• Apply the division left to right and then multiply.
• Apply the addition and subtraction left to right.

$\begin{array}{rcl}9+5^3-\left[4\left(9+3\right)\right]& =& 9+5^3-\left[4\left(12\right)\right]\left[\text{open parenthesis}\right]\\ & =& 9+5^3-\left[48\right]\left[\text{Multiplication}\right]\\ & =& 9+125-48\left[\text{power}\right]\\ & =& 134-48\left[\text{Addition}\right]\\ & =& 86\left[\text{Subtraction}\right]\end{array}$

Step 3. Conclusion.

The obtained value is 86.