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Question
Use a fractional index to write: `(1/root(3)(100))^7`
Sum
Solution
`(1/root(3)(100))^7 = [1/root(3)(10^2)]^7`
= `[1/(10^2)^(1/3)]^7`
= `[1/(10^(2/3))]^7`
= `(10^((-2)/3))^7`
= `10^((-2)/3 xx 7)`
= `10^((-14)/3)`
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Fractional Index
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Chapter 2: Real Numbers - Exercise 2.5 [Page 59]
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