SOLUTION: Solve: ^4(x^2)*^5(x^3) Answer will be one of the following: ^20(x^5) ^10(x) ^x^10(x) ^x^20(x) Any help would be very much appreciated! Thank you

Question 723140: Solve: ^4(x^2)*^5(x^3)
Answer will be one of the following:
^20(x^5)
^10(x)
^x^10(x)
^x^20(x)
Any help would be very much appreciated!
Thank you
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
4 is the index number and under the radical is x^2 which is to be multiplied by 5 as the index number and under the radical is x^3.
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^4(x^2)*^5(x^3)
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(4th root of x^2) * (5th root of x^3)
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Least common multiple for 4th and 5th is 20th
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= (20th root of x^10) * (20th root of x^12)
----
= 20th root of x^22
---
= x*(20th root of x^2)
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Cheers,
Stan H.
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