SOLUTION: Write the expression as a single quotient in which only positive exponents and/or radicals appear. Assume x<-7/5 or x>7/5. 5x^2 ___________ _ (5x^2 - 7)^1/2 - (5x^2 - 7)^1

Algebra ->  Exponents -> SOLUTION: Write the expression as a single quotient in which only positive exponents and/or radicals appear. Assume x<-7/5 or x>7/5. 5x^2 ___________ _ (5x^2 - 7)^1/2 - (5x^2 - 7)^1      Log On


   

Question 907772: Write the expression as a single quotient in which only positive exponents and/or radicals appear. Assume x<-7/5 or x>7/5.

5x^2
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(5x^2 - 7)^1/2 - (5x^2 - 7)^1/2
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5x^2

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Write the expression as a single quotient in which only positive exponents and/or radicals appear. Assume x<-7/5 or x>7/5.

5x^2/(5x^2 - 7)^1/2 - (5x^2 - 7)^1/2 /5x^2
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= [(5x^2)^2 - (5x^2-7)] /[5x^2(5x^2-7)^(1/2)]
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= 7 / [5x^2(5x^2-7)^(1/2)]
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Cheers,
Stan H.
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