SOLUTION: I need help with Rational Exponents. (54/2x^4)^1/3

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Question 1149020: I need help with Rational Exponents.
(54/2x^4)^1/3
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Is this expression
+%28+%2854%2F2%29%2Ax%5E4+%29%5E%281%2F3%29+ ?
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You need the general rule:
+%28+a%5Eb+%29%5Ec+=+a%5E%28+b%2Ac+%29+
The you have the extra step:
+%28+d%2A%28+a%5Eb+%29%29%5Ec+=+d%5Ec+%2A+a%5E%28+b%2Ac%29+
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That's assuming I'm reading the expression right
+%28+%2854%2F2%29%2Ax%5E4+%29%5E%281%2F3%29+
++27%5E%281%2F3%29+%2A+x%5E%284%2F3%29+
+3x%5E%284%2F3%29+
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If I read it wrong and the expression is:
+%28+%2854%2F%282x%29%29%5E4+%29%5E%281%2F3%29+
+%28%28+27%2Fx+%29%5E4%29%5E%28+1%2F3+%29+
+%28+27%2Fx+%29%5E%284%2F3%29+
+%28%28+27%2Fx+%29%5E%281%2F3%29%29%5E4+
+%28+3%2F%28x%5E%281%2F3%29%29%29%5E4+
+81%2F%28+x%5E%284%2F3%29%29+
+81%2Ax%5E%28+-4%2F3+%29+
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