Advertisements
Advertisements
Question
Simplify:
`root(3)(16/54)`
Sum
Solution
`root(3)(16/54)`
= `root(3)((2 xx 2 xx 2 xx 2)/(2 xx 3 xx 3 xx 3))`
= `root(3)((2 xx 2 xx 2)/(3 xx 3 xx 3))`
= `root(3)((2^3)/(3^3))`
= `root(3)((2/3)^3)` `[a^m/b^m = (a/b)^m]`
= `2/3`
shaalaa.com
Is there an error in this question or solution?
RELATED QUESTIONS
A perfect cube does not end with two zeroes.
There is no perfect cube which ends with 8.
Find the cube of \[- \frac{8}{11}\] .
Find the cube of \[\frac{12}{7}\] .
Find the cube of:
\[3\frac{1}{4}\]
The volume of a cube is 9261000 m3. Find the side of the cube.
Find the cube root of the following rational number \[\frac{- 19683}{24389}\] .
Find the cube root of the following rational number 0.003375 .
Find the cube root of the following number.
−2744
Find the cube of: -7