Certainly! Let's break down the expression step by step according to the order of operations (also known as PEMDAS/BODMAS, which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)):
1. Calculate the exponentiation:
[tex]\[
4^3 = 64
\][/tex]
So the expression now looks like:
[tex]\[
64 \div 8 + 9
\][/tex]
2. Perform the division:
[tex]\[
64 \div 8 = 8
\][/tex]
Now the expression is:
[tex]\[
8 + 9
\][/tex]
3. Finally, perform the addition:
[tex]\[
8 + 9 = 17
\][/tex]
Putting it all together, the simplified expression is:
[tex]\[
4^3 \div 8 + 9 = 17
\][/tex]
