# SOLUTION: Hi I have a Question! (x^(3a))/(sqrt(x^16a)) The think the answer is x^(-5a) But I do not know how to get that. thanks!

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 Question 604733: Hi I have a Question! (x^(3a))/(sqrt(x^16a)) The think the answer is x^(-5a) But I do not know how to get that. thanks!Found 2 solutions by stanbon, bucky:Answer by stanbon(57347)   (Show Source): You can put this solution on YOUR website!(x^(3a))/(squareroot(x^(16a))) ------------------- (x^(3a))/(x^8a) ---- = 1/x^(5a) ============== Cheers, Stan H. Answer by bucky(2189)   (Show Source): You can put this solution on YOUR website! I think that you intended for the exponent in the denominator to be 16a rather than the way you wrote it. In other words you meant: . . This being the case, then the next step would be to replace the square root radical with the exponent 1/2, which converts the problem to: . . Following the power rule for exponents in the term in the denominator we can multiply the exponent (1/2) times the exponent (16a) to get an answer of 8a. The problem can therefore be rewritten as: . . Then, since the base for the exponential terms is x in both the numerator and the denominator, we can divide by raising the base to the difference between the two exponents as follows: . . Subtracting the exponents results in the answer you thought it was, namely: . . I hope that my interpretation of the problem you wanted help with is correct. If not, please post it again and one of the tutors will likely respond. .