We need to solve the following expression:
![70-2(5^2-22)^3+5(-2)](https://img.qammunity.org/2023/formulas/mathematics/college/18ib34d7g9ahwuefwjdiux5ivv30t7kywk.png)
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
![\begin{gathered} 70-2(25-22)^3-10 \\ 70-2*3^3-10 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/1fjlma607vzukn9aaj4x0zdiivyqaq2tiw.png)
The next step is to raise exponents,
![70-2*27-10](https://img.qammunity.org/2023/formulas/mathematics/college/5vu9i3nrhfki8qr2zwus24x57wge3pyxxf.png)
and now, the multiplication step
![70-54-10](https://img.qammunity.org/2023/formulas/mathematics/college/hhozod7nguyr4zba227tdqtfn81rhtz6w9.png)
then, we get 70-64 and the solution is 6.