:
the power g^-2 is equivalent to 1/g^2 what is the value of g^-2?
a. -81
b. -9
c. 1/81
d. 1/9

G⁻² = 1/g² =  1 / (g * g)

Since  g is multiplying g, hence the answer can not be negative. It can only be positive.

Because a negative * negative = positive  and

positive * positive  = positive.

The possible answer is option C or D.

if g = 3, 

g⁻² = 1/g² =  1 / (g * g)

3⁻² = 1/3² =  1 / (3 * 3) = 1/9

if g = 9

9⁻² = 1/9² =  1 / (9 * 9) = 1/81

Possible answer is C or D.