We are given the following expression:
![-2x^3-10y-7](https://img.qammunity.org/2023/formulas/mathematics/college/fvz16gmi8zh9w9tuf431yygzaisc9hnmsj.png)
We are asked to evaluate the expression in the following points:
![\begin{gathered} x=4 \\ y=-9 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/mugbvp8yvw5j7ip8snbczv3g3smih60dq6.png)
To determine the value of the expression we will substitute the value in the expression like this;
![-2(4)^3-10(-9)-7](https://img.qammunity.org/2023/formulas/mathematics/college/7knwctl4q2oj09aun14or2wba6f0aj784u.png)
Now, we solve the exponents:
![-2(4)^3-10(-9)-7=-2(64)-10(-9)-7](https://img.qammunity.org/2023/formulas/mathematics/college/ap627gztakjbnun10clfr96o9ptnqq71ry.png)
Now, we solve the products:
![-2(64)-10(-9)-7=-128+90-7](https://img.qammunity.org/2023/formulas/mathematics/college/64kfus2xh8tc7mh3xyjts9twc21wpdpnwl.png)
Solving the operations:
![-128+90-7=-45](https://img.qammunity.org/2023/formulas/mathematics/college/2j6s9nl7nidii9z1g9np8yuhnd9hf4w8d8.png)
Therefore, the numerical value is -45