Question

Which of the following numbers are not perfect cubes?
1. 216
2. 125
3. 1000
4. 46656

Answer 1

i) $216=2^3,3^3=(2,3{)}^3=6^3$

ii) $125=5^3$

iii) $1000={10}^3$

iv) $46656=2^6\times 3^6=(2^2\times 3^2{)}^3$

$=(36{)}^3$

every number is a perfect cube.