SOLUTION: I can not figure out the following equation: (z+2)^ -2/3 = 3 solving for z. (z+2) raised to the -2/3 power equals 3.

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Question 182059: I can not figure out the following equation:
(z+2)^ -2/3 = 3
solving for z.
(z+2) raised to the -2/3 power equals 3.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for z:
%28z%2B2%29%5E%28-2%2F3%29+=+3 Write the left side as a positive exponent:
1%2F%28z%2B2%29%5E%282%2F3%29+=+3 Multiply both sides by z%2B2%29%5E%282%2F3%29
1+=+3%28z%2B2%29%5E%282%2F3%29 Divide both sides by 3.
1%2F3+=+%28z%2B2%29%5E%282%2F3%29 Now raise both sides to the 3%2F2power.
%281%2F3%29%5E%283%2F2%29+=+%28%28z%2B2%29%5E%282%2F3%29%29%5E%283%2F2%29 Multiply the exponents on the right side.
1%2F%283%29%5E%283%2F2%29+=+%28z%2B2%29 Simplify the left side.
1%2F3sqrt%283%29+=+z%2B2 Finally, subtract 2 from both sides.
z+=+%281%2F3sqrt%283%29%29-2 and this can also be written as:
highlight%28z+=+%281-6sqrt%283%29%29%2F3sqrt%283%29%29