To simplify this expression, we can start by simplifying the numerator and denominator separately.

Numerator: 120^9
To simplify this, we can rewrite 120 as 2^3 * 3 * 5. Therefore, the numerator becomes (2^3 * 3 * 5)^9.

Denominator: (2^2 * 3 * 5)^8

Now, let's simplify the numerator and denominator separately.

Numerator: (2^3 * 3 * 5)^9
Using the exponent rule (a^m)^n = a^(m*n), we can simplify this to 2^(3*9) * 3^9 * 5^9.
This becomes 2^27 * 3^9 * 5^9.

Denominator: (2^2 * 3 * 5)^8
Using the exponent rule (a^m)^n = a^(m*n), we can simplify this to 2^(2*8) * 3^8 * 5^8.
This becomes 2^16 * 3^8 * 5^8.

Now, we can divide the numerator by the denominator:
(2^27 * 3^9 * 5^9) / (2^16 * 3^8 * 5^8)

Using the exponent rule a^m / a^n = a^(m-n), we can simplify this to:
2^(27-16) * 3^(9-8) * 5^(9-8)

This becomes:
2^11 * 3^1 * 5^1

Therefore, the simplified expression is 2^11 * 3 * 5.