Question

Which is the value of this expression when j = -2 and k = -1?

-64

-(1/2)

1/2

64

Answer 1

-64

Explanation:

You can evaluate as is, substituting the given values for j and k, or you can simplify it first. I like it better without the negative exponents, so I would choose to simplify it at least a bit.

`\left((jk^(-2))/(j^(-1)k^(-3))\right)^3=(j^(1-(-1))k^(-2-(-3)))^3=(j^2k)^3`

Substituting the given values, we get ...

`=((-2)^2(-1))^3=(-4)^3=-64`