Answer:
x = -5/2 , 5/2
Step-by-step explanation:
x^ -2 = 4/25
negative exponents means flip from numerator to denominator ( or vice versa)
(1/x) ^2 = 4/25
take the square root of each side (remember you get a positive and negative result)
sqrt(1/x) = sqrt(4/25)
1/x = + 2/5 1/x = -2/5
multiply each side by x
1 = + 2/5 x 1 = -2/5 x
multiply by 5/2 multiply by -5/2
5/2 = + 2/5 x * 5/2 -5/2 = -2/5 x *- 5/2
5/2 = + x -5/2 = x
x = 5/2 , -5/2
