Answer:
Number is two
Step-by-step explanation:
First of all we find the closest factors of 864 which are 32 x 27
Simply them we have
32 x 27 = 2^5 x 3³
So
Next we know that to be aperfect cube, each exponent needs to be equally divided by divisible by 3.
So If we multiply 864 x 2 we get
Then
1728 = 2^6 x 3³
So if we finally
Take the cube root of that is 2²* 3^1 = 4 x 3= 12
So 2² x 3^1
So if we equate the powers we have the answer as 2.
