SOLUTION: I am taking a Pre-Calculus Algebra class online and I am at a complete loss. Please help!! Perform the indicated operations. Write the result using only positive exponents and a

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Question 48554: I am taking a Pre-Calculus Algebra class online and I am at a complete loss. Please help!!
Perform the indicated operations. Write the result using only positive exponents and assume all variables represent nonzero real numbers.
9r^-3(r^4)^4/2(r^-2)^5
Rationalize the denominator. Assume all variables represent positve real numbers.
5√11x/√x^3
Your help would be greatly appreciated - like I said I am at a complete loss.
Thanks in advance!!
Answer by stanbon(48569) (Show Source):
You can put this solution on YOUR website!
9r^-3(r^4)^4/2(r^-2)^5
[9(1/r^3)r^16] / [2(1/r^10)]
[9r^13]/[2/r^10]
(9/2)r^3
-----------------------

Rationalize the denominator. Assume all variables represent positve real numbers.
5√11x/√x^3
Multiply numerator and denominator by sqrtx to get:
5sqrt(11x^2)/sqrt(x^4)
=5xsqrt11/x^2
=5sqrt11/x
Cheers,
Stan H.