Question

Can someone please help tell me if I got this correct?

Answer 1

1/4 n²

Step-by-step explanation

First, we distribute the exponent into the product,

`(2n^(-1))^(-2)=2^(-2)\cdot(n^(-1))^(-2)`

Negative exponents flip the fractions and exponents of exponents multiply,

`2^(-2)\cdot(n^(-1))^(-2)=(1)/(2^2)\cdot n^((-1)\cdot(-2))=(1)/(4)n^2`

Hence, your answer is correct, 1/4n².