Question

Choose the correct answer for the following expression from the options given below.
$10÷5\times [4^3-5\times (12÷2\left)\right]$

Answer 1

According to PEMDAS, the order of operations to solve a mathematical expression:
P: Parentheses
E: Exponents
M: Multiplication
D: Division
A: Addition
S: Subtraction

Step 1: Solve the expression within the parentheses.
$[4^3-5\times (12÷2\left)\right]$
$\to [4^3-5\times 6]$
Step 2: Solve the exponent.
$\to [64-5\times 6]$
Step 3: Perform multiplication.
$\to [64-30]$
Step 4: Perform subtraction.
$\to [64-30]=34$
Step 5: Perform division.
$10÷5\times 34=2\times 34$
Step 6: Perform multiplication.
$2\times 34=68$