galacticgem18 galacticgem18
  • 15-10-2019
  • Mathematics
contestada

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



-64

-(1/2)

1/2

64

Which is the value of this expression when j 2 and k 1 64 12 12 64 class=

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sqdancefan
sqdancefan sqdancefan
  • 15-10-2019

Answer:

  -64

Step-by-step 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.

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

Substituting the given values, we get ...

[tex]=((-2)^2(-1))^3=(-4)^3=-64[/tex]

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