- A
- B
- C
- DThey are equal
Step-by-Step Solution
and , so is larger by 81 − 64 = 17. The bigger base does not always win — swapping the base and the exponent changes the value.
Answer: B)
Which is larger, or , and by how much?
Class 8Cubes and Cube RootsCubes and Roots
Key idea: Squares vs cubes — what's different
Both are repeated multiplication, but with key differences:
- A square is non-negative: .
- A cube **keeps the sign**: . (Three negatives stay odd → still negative.)
- Squares grow more slowly than cubes: vs For square roots, only positive results (by convention). For cube roots, the sign matches the input: ∛.
- A square is non-negative: .
- A cube **keeps the sign**: . (Three negatives stay odd → still negative.)
- Squares grow more slowly than cubes: vs For square roots, only positive results (by convention). For cube roots, the sign matches the input: ∛.
Master this chapter in 30 minutes a day.
Don't just memorise the answer — build a daily practice habit.
Practice 5 Similar Questions Free →All Cubes and Cube Roots practice questions
More Class 8 Cubes and Cube Roots practice
By how much does the cube of 6 exceed the square of 6?Apart from 0, for which whole number n is n³ equal to n²?Three solid cubes with edges 3 cm, 4 cm and 5 cm are melted together and recast as one…A crate is packed completely with 1 cm cubes that together form one large cube with no…The edge of a cubical box is doubled. The new volume is how many times the old volume?