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Question
Assuming that x, y, z are positive real numbers, simplify the following:
`root5(243x^10y^5z^10)`
Solution
We have to simplify the following, assuming that x, y, z are positive real numbers
Given `root5(243x^10y^5z^10)`
`=(243xx x^10xxy^5xxz^10)^(1/5)`
`=(243)^(1/5)xx (x^10)^(1/5)xx(y^5)^(1/5)xx(z^10)^(1/5)`
`=(3^5)^(1/5)xx x^(10xx1/5)xxy^(5xx1/5)xxz^(10xx1/5)`
`=3xx x^2xxyxxz^2`
`=3x^2yz^2`
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