Question

Simpify the expression:
$\left[\right(10÷2\times 3\left)\right]+8\times 3^2-9+[11-14÷2+5]\times 4÷3$

Answer 1

The order of operations for solving a mathematical expression that we must follow is:
$P\to \text{Parenthesis}E\to \text{Exponents}M\to \text{Multiplication}D\to \text{Division}A\to \text{Addition}S\to \text{Subtraction}$

Let's simplify the given expression step by step, following the order of operations.

Also we know that when operations are at the same level, like multiplication and division or addition and subtraction, we move from the left to the right.
First solve the expression in the parentheses
$=\left[\right(10÷2\times 3\left)\right]+8\times 3^2-9+[11-14÷2+5]\times 4÷3$
$=\left[\right(10÷2\times 3\left)\right]+8\times 3^2-9+[11-14÷2+5]\times 4÷3$
$=\left[\right(5\times 3\left)\right]+8\times 3^2-9+[11-14÷2+5]\times 4÷3$
$=15+8\times 3^2-9+[11-14÷2+5]\times 4÷3$
$=15+8\times 3^2-9+[11-7+5]\times 4÷3$
$=15+8\times 3^2-9+[4+5]\times 4÷3$
Now, solve the exponents terms
$=15+8\times 9-9+9\times 4÷3$
Solving multiplication and division expressions from left to right
$=15+72-9+9\times 4÷3$
$=15+72-9+36÷3$
$=15+72-9+12$
Solving addition and subtraction expressions from left to right
$=87-9+12$
$=78+12$
$=90$