SOLUTION: 2x^-2/3=8

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Question 1071129: 2x^-2/3=8
Found 2 solutions by Fombitz, MathTherapy:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You didn't use parentheses but I'm assuming you mean,
2x%5E%28-2%2F3%29=8
1%2Fx%5E%282%2F3%29=4
x%5E%282%2F3%29=1%2F4
x=%281%2F4%29%5E%283%2F2%29
x=1%2F8

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

2x^-2/3=8
matrix%282%2C1%2C+%22+%22%2C+2x%5E%28-+2%2F3%29+=+8%29
matrix%282%2C1%2C+%22+%22%2C+x%5E%28-+2%2F3%29+=+8%2F2%29
matrix%282%2C1%2C+%22+%22%2C+x%5E%28-+2%2F3%29+=+4%29
The SIMPLEST approach is to change the exponent to 1. To do that, you need to RAISE each side to the exponent's RECIPROCAL, or: 

 ------ Converting: matrix%282%2C1%2C+%22+%22%2C+4%5E%28-+3%2F2%29%29