Answer :

GeorgePP

Answer:

Step-by-step explanation:

[tex](1/5k)^2=1/5^2*k^2[/tex]

[tex]1/25*k^2=\frac{k^2}{25}[/tex]

Answer:  [tex]\frac{1}{25}k^2[/tex]

This is equivalent to [tex]\frac{k^2}{25}[/tex]

In decimal form, this is equivalent to 0.04k^2

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Work Shown:

We have the two pieces 1/5 and k, all in the parenthesis being squared.

Square each piece

  • Squaring the piece 1/5 leads to (1/5)^2 = 1/25, since 5^2 = 25
  • squaring the k value leads to k^2

So overall, we end up with the answer [tex]\frac{1}{25}k^2[/tex] which is equivalent to saying [tex]\frac{k^2}{25}[/tex]

In decimal form, this is 0.04k^2 because 1/25 = 0.04

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