The order of operations says that operations must be done in the following order: parentheses, exponents, multiplication, division, addition, and subtraction.
In this question we have the following expression:
[tex]1500\div(6^2+4^3)\times37[/tex]
First, we calculate within the parentheses:
[tex]6^2+4^3=36+64=100[/tex][tex]\frac{1,500}{(6^{2}+4^{3})}\times37\text{ =}\frac{1500}{100}\times37\text{ = 15 }\times37\text{ = 555}[/tex]
So, the value is 555.
