Question

What is the value of 11x^-3y^-1 for x=-1 and y=2

a.-2/11
b.-22
c.-66
d.-11/2​​

Answer 1

`\large\boxed{d.\ -(11)/(2)}`

Explanation:

`11x^(-3)y^(-1)\\\\\text{use}\ a^(-n)=(1)/(a^n)\\\\=11\left((1)/(x^3)\right)\left((1)/(y)\right)=(11)/(x^3y)\\\\\text{Substitute the values of}\ x\ \text{and}\ y:\\\\x=-1,\ y=2\\\\(11)/((-1)^3(2))=(11)/((-1)(2))=(11)/(-2)=-(11)/(2)`