Question

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

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