Question 52880
x^-2=4
The easiest way is just to flip a negative exponent:
x^-2=1/x^2 This will make the exponent positive without changing the value
So, 1/x^2=4 
sqrt(1)/sqrt(x)^2=sqrt(4) [Take the square root of both sides]
1/x=2 [Solve for x]
(1/x)(x/1)=(x/1)(2)
1=2x
1/2=x
.
Check by plugging (x=1/2) back into the original equation:
x^-2=4
(1/2)^-2=4
(2/1)^2=4[flip to get a positive exponent]
4/1=4 [Simplify-
4=4 [checks out]