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Question
Write the following number in the form of a rational indices.
Square root of 5th power of 121
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Solution
It is known that,
`a^(m/n) = (am)^(1/n)` means 'nth root of mth power of a'.
`a^(m/n) = (am^(1/n))^m` means 'mth power of nth root of a'.
Square root of 5th power of 121
= `{(121)^5}^(1/2)`
= `(121)^(5/2)`
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