document.write( "Question 794181: If x greater than 1 and square root x over x^3 = x^m, what is the value of m? \n" ); document.write( "

Algebra.Com's Answer #480585 by DrBeeee(684) $\"\"$ $\"About$

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Use the property
\n" ); document.write( "(1) $\"%28a%5Ej%29%2F%28a%5Ek%29+=+a%5E%28j-k%29\"$
\n" ); document.write( "and for your example j = 1/2 and k = 3 to get
\n" ); document.write( "(2) $\"%28a%5E%281%2F2%29%29%2F%28a%5E3%29+=+a%5E%281%2F2+-+3%29\"$ or
\n" ); document.write( "(3) $\"%28a%5E%281%2F2%29%29%2F%28a%5E3%29+=+a%5E%28-5%2F2%29\"$ from which we see that you get
\n" ); document.write( "(4) m = -5/2
\n" ); document.write( "Answer: m = -5/2
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