Choose the correct answer.The number 45g is a perfect cube. Find the smallest positive integer value of g24854775

The question is asking for the smallest positive integer value of g such that 45g is a perfect cube.

A perfect cube is a number that can be expressed as the cube of an integer.

First, let's factorize 45. The prime factorization of 45 is 3^2 * 5.

For 45g to be a perfect cube, each prime factor must appear in multiples of 3 in the factorization.

We already have two 3's from 45, so we don't need any more 3's.

However, we only have one 5 from 45. To make 45g a perfect cube, we need two more 5's.

Therefore, the smallest positive integer value of g that makes 45g a perfect cube is 5^2, which is 25.