Advertisements
Advertisements
Question
Find the 5th root of `1024/3125`
Sum
Solution
`root(5)(1024/3125) = (1024/3125)^(1/5)`
= `(2^10/5^5)^(1/5)`
= `((2^2)^5/5^5)^(1/5)`
= `(4^5/5^5)^(1/5)`
= `(4/5)^(5 xx 1/5)`
= `4/5`
shaalaa.com
Fractional Index
Is there an error in this question or solution?
Chapter 2: Real Numbers - Exercise 2.5 [Page 60]
APPEARS IN
RELATED QUESTIONS
Find the value of `(49)^(1/2)`
Find the value of `(243)^(2/5)`
Find the value of `9^((-3)/2)`
Find the value of `(64/125)^((-2)/3)`
Use a fractional index to write: `sqrt(5)`
Use a fractional index to write: `root(2)(7)`
Use a fractional index to write: `(root(3)(49))^5`
Use a fractional index to write: `(1/root(3)(100))^7`
Find the 5th root of 243
Find the 5th root of 100000
