We need to solve the following expression:
[tex]70-2(5^2-22)^3+5(-2)[/tex]
The order of operations is a rule that tells the correct sequence of steps for evaluationf a math expression. We can remember the order using PEMDAS: Parenthesis, Exponents, Multiplication and Division (from left to right).
Then, in our expression, we must solve parenthesis first. It yields
[tex]\begin{gathered} 70-2(25-22)^3-10 \\ 70-2\times3^3-10 \end{gathered}[/tex]
The next step is to raise exponents,
[tex]70-2\times27-10[/tex]
and now, the multiplication step
[tex]70-54-10[/tex]
then, we get 70-64 and the solution is 6.