Advertisements
Advertisements
Question
Simplify:
`root(3)(16/54)`
Sum
Advertisements
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
If square of a number ends with 5, then its cube ends with 25.
Find the cube of \[\frac{7}{9}\] .
Find the cube of 1.5 .
Find the cube of 2.1 .
Find the cube root of the following rational number \[\frac{10648}{12167}\] .
Find the cube of 1.6.
Find the cube of: `3/7`
1m2 = ______ cm2.
1m3 = ______ cm3.
If one side of a cube is 15 m in length, find its volume.
