Question

Which is the value of this expression when a=5 and k=-2? ?

K
325-2
3a7
75
9
25.
25
19
10 75

Answer 1

Hey there! I'm happy to help!

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

In the denominator, we have
`5^-^1`, 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