Simplify 12n to 5th power/36n
(12n)^5
----------
12 * 3 * n
12n*12n*(12n)^3
----------------
12 * 3 * n
4 n (12n)^3
To simplify the expression (12n^5)/(36n), we can start by canceling out common factors between the numerator and denominator.
The numerator, 12n^5, can be written as (2*2*3*n*n*n*n).
The denominator, 36n, can also be written as (2*2*3*3*n).
Now, we cancel out the common factors between the numerator and denominator:
(2*2*3*n*n*n*n) / (2*2*3*3*n).
Canceling out the common factors, we are left with:
(n*n*n*n) / (3*3).
Simplifying further, we have:
n^4 / 9.
Thus, the simplified expression is n^4 / 9.