Question

Which expression is a perfect cube?

a) (-1.452m¹⁸)

b) (1,331m¹⁸)

c) (1,331m^18/3)

d) (1.452m^18/3)

Answer 1

To determine which expression is a perfect cube, we need to cube the digit term and multiply the exponent of the exponential term by 3. The expression (1,331m^18/3) is a perfect cube because the coefficient '1,331' is a cube and the exponent '18/3' is a multiple of 3. Hence the correct answer is option C

Step-by-step explanation:

To determine which expression is a perfect cube, we need to cube the digit term and multiply the exponent of the exponential term by 3.

Let's examine each expression:

1. (-1.452m¹⁸) - This expression is not a perfect cube because the coefficient '-1.452' is not a cube. Also, the exponent '18' is not a multiple of 3.
2. (1,331m¹⁸) - This expression is not a perfect cube because the coefficient '1,331' is not a cube. Also, the exponent '18' is not a multiple of 3.
3. (1,331m^18/3) - This expression is a perfect cube because the coefficient '1,331' is a cube. Additionally, the exponent '18/3' is equal to 6, which is a multiple of 3.
4. (1.452m^18/3) - This expression is not a perfect cube because the coefficient '1.452' is not a cube. Also, the exponent '18/3' is not a multiple of 3.

Therefore, the expression (1,331m^18/3) is a perfect cube.

Hence the correct answer is option C