Question

Evaluation the expression when x=-1 and y=3.

5x^-6y^-2
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Y

Answer 1

Put the vales of x and y to the expression:

`x=-1;\ y=3\\\\(5x^(-6)y^(-2))/(y)=(5(-1)^(-6)(3)^(-2))/(3)=(5(-1)^6\left((1)/(3)\right)^2)/(3)=(5(1)\left((1)/(9)\right))/(3)=((5)/(9))/(3)\\\\=(5)/(9)\cdot(1)/(3)=\boxed{(5)/(27)}`