SOLUTION: Solving Equations with Radicals and Exponents X^-2=4

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Question 90170: Solving Equations with Radicals and Exponents
X^-2=4
Found 2 solutions by tutorcecilia, tutor_paul:
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E-2%29 = 4 [write (4) as a number with an exponent]
%28x%5E-2%29 = %282%5E2%29 [re-write (2^2) with a negative exponent by taking the reciprocal of (2)]
.
%28x%5E-2%29 = %281%2F2%29%5E-2
.
.Therefore, x=1/2

Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E-2=4
Remember that a negative exponent can also be written like this:
1%2Fx%5E2=4
Solve for x now:
4x%5E2=1
x%5E2=1%2F4
Taking the square root of each side...
x=+-1/2
Good Luck,
tutor_paul@yahoo.com