Assuming the question reads:
[tex]5 \cdot 3^2 - 15 \div 5[/tex]
The order of operations is as follows:
Parentheses
Exponents
Multiplication/Division
Addition/Subtraction
There are no parentheses in the equation.
There is an exponent in the equation. Solve this term first:
[tex]3^2 = 9[/tex]
The equation should now read:
[tex]5 \cdot 9 - 15 \div 5[/tex]
There are two multiplication/division operations in the equation. Solve them individually:
[tex]5 \cdot 9 = 45[/tex]
[tex]15 \div 5 = 3[/tex]
The equation should now read:
[tex]45 - 3[/tex]
There is one subtraction operation. Solve this term for your answer:
[tex]45 - 3 = \boxed{42}[/tex]
