SOLUTION: Use rational exponents to write x^1/5*y^1/3*z^1/6 as a single radical expression. I come up with ^120 sqrt x^18y^30z^15, however, this is not one of the options for an answer.

SOLUTION: Use rational exponents to write x^1/5y^1/3z^1/6 as a single radical expression. I come up with ^120 sqrt x^18y^30z^15, however, this is not one of the options for an answer.

Question 352213: Use rational exponents to write x^1/5*y^1/3*z^1/6 as a single radical expression.
I come up with ^120 sqrt x^18y^30z^15, however, this is not one of the options for an answer.
Am I to simplify?
Answer options are
A. ^90 sqrt xyz
B. ^30 sqrt xyz
C. ^30 sqrt (xyz)^21
D. ^30 sqrt x^6y^10z^5
Any help is greatly appreciated! Thank you in advance for your time and help!
Found 2 solutions by Fombitz, jim_thompson5910:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Find a common denominator using ,, and .

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.

Take note that the LCD is 30. So let's get each fraction to have a denominator of 30.

Multiply the first fraction by

Multiply the second fraction by

Multiply the third fraction by

Factor out the denominator.

Convert to radical notation.

So the answer is D)
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