Question

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

Answer 1

Answer:

-64

Step-by-step explanation:

The expression is written as

$\displaystyle \left (\frac{j\ k^{-2}}{j^{-1}\ k^{-3}}\right )^3$

We need to apply the rules of power of power in algebra:

$(x^m)^n=x^{m.n}$

Also, we apply the quotient of variables

$\displaystyle \left (\frac{x^m}{x^n}\right )=x^{m-n}$

Let's simplify the given expression

$\displaystyle \left (\frac{j^3\ k^{-6}}{j^{-3}\ k^{-9}}\right)$

$=j^{3+3}k^{-6+9}$

$=j^6k^3$

For j=-2 and k=-1

$=(-2)^6(-1)^3$

$=64\times(-1)$

$\boxed{-64}$

Answer 2

Answer:

-64

Step-by-step explanation: