Question

If n² = 1/16, then n could be which of the following? -1/4 04 4 1/4

Answer 1

Answer:

-1/4 & 1/4

Step-by-step explanation:

(-1/4)^2 = (-1)^2 / (4)^2 = 1/16

4^2 = 16

(-4)^2 = 16

(-8)^2 = 64

(1/4)^2 = (1)^2 / (4)^2 = 1/16

hope this helps! <3

Answer 2

Answer:

4 and -4

Step-by-step explanation:

This is because:

1. When fractions are raised to a negative exponent, the number will become a whole number, therefore, 1/4 and -1/4 does not work.

2. -8 does not work because when you square 8 it is 64 and not 16.

3. And finally, that leaves us with two options which 4 and -4 which both work because 4^-2 = 1/16 and -4^-2 = 1/16.

Therefore, the answer is 4 and -4.

Hope this helps! :D