delianagomez
delianagomez delianagomez
  • 02-09-2020
  • Mathematics
contestada

Which is the value of this expression when a=5 and k=-2? ?
K
325-2
3a7
75
9
25.
25
19
10 75

Which is the value of this expression when a5 and k2 K 3252 3a7 75 9 25 25 19 10 75 class=

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ChopinTheChicken
ChopinTheChicken ChopinTheChicken
  • 07-09-2020

Hey there! I'm happy to help!

[tex]a^-^2[/tex] is the same thing as 1/a². So, [tex]5^-^2[/tex] is 1/25. This is multiplied by 3² which is 9, so this is 9/25.

In the denominator, we have [tex]5^-^1[/tex], which is 1/5. We multiply this by 3, which is 3/5.

So, we divide 9/25 by 3/5, giving us 3/5.

Now, we raise this to the power of -2, so we flip the numerator and denominator and then square both numbers, giving us 25/9.

Have a wonderful day! :D

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