Answer:
[tex]2\frac{1}{2}[/tex]
Step-by-step explanation:
we have
[tex]10x^{2} y^{-2}[/tex]
we know that
[tex]10x^{2} y^{-2}=10\frac{x^{2}}{y^{2}}[/tex]
Substitute the value of x=-1 and y=-2 in the expression
[tex]10\frac{(-1)^{2}}{(-2)^{2}}[/tex]
[tex]10\frac{1}{4}[/tex]
[tex]\frac{10}{4}[/tex]
Simplify
[tex]\frac{5}{2}=2\frac{1}{2}[/tex]