Rewrite the following expression using the properties of rational exponents. be sure your answer is in simplest form.

(2 *6)^3/2

First multiply inside the parenthesis:

6*2 = 12

12^3/2

Or as a radical the 3 is cubing the number and the 2 is taking the square root:

√((2*6)^3) = √(12^3)

Some of the question is cut off, so not exactly sure what you need.

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18