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Question
The seventh root of x divided by the eighth root of x is
Options
x
\[\sqrt{x}\]
\[\sqrt[56]{x}\]
\[\frac{1}{\sqrt[56]{x}}\]
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Solution
We have to find he seventh root of x divided by the eighth root of x, so let it be L. So,
`L= (7sqrtx)/(8sqrtx)`
`= (x^(1/7))/(x^(1/8))`
`= x^(1/7-1/8)`
`= x^((1xx8)/(7xx8)-(1 xx7) /(8 xx 7))`
`L = x^(8/56 -7/56)`
`=x^1/56`
`=56sqrtx`
The seventh root of x divided by the eighth root of x is `56sqrtx`
Hence the correct choice is c.
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