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

(StartFraction j k Superscript negative 2 Baseline Over j Superscript negative 1 Baseline k Superscript negative 3 Baseline EndFraction) cubed
–64
Negative one-half
One-half
64

Respuesta :

Answer:

Option A.

Step-by-step explanation:

It is given that

[tex]j=-2, k=-1[/tex]

The given expression is

[tex]\left(\dfrac{jk^{-2}}{j^{-1}k^{-3}}\right)^3[/tex]

Substitute the given values in the above expression.

[tex]\left(\dfrac{(-2)(-1)^{-2}}{(-2)^{-1}(-1)^{-3}}\right)^3[/tex]

[tex]\Rightarrow \left(\dfrac{(-2)(1)}{\dfrac{1}{-2}(-1)}\right)^3[/tex]

[tex]\Rightarrow \left(\dfrac{-2}{\dfrac{1}{2}}\right)^3[/tex]

[tex]\Rightarrow \left(-4\right)^3[/tex]

[tex]\Rightarrow -64[/tex]

Therefore, the correct option is A.

Answer:

The answer is A.

Step-by-step explanation:

I did the test, and I also solved it. Its the only logical answer.