Simplify

(uv)0
______
(u3 v)2

To simplify the expression (uv)0 / (u3v)2, we can start by understanding the properties of exponents.

The first property we will use is the zero exponent property. Any number or variable raised to the power of zero is always equal to 1. Therefore, (uv)0 can be simplified to 1.

Next, we can apply the power of a power property. When raising a power to another power, we multiply the exponents. In this case, (u3v)2 means we multiply the exponent 2 to both u3 and v. This results in u3*2 which is u6, and v2 which is v2.

Now, let's simplify the expression: 1 / (u6v2)

Therefore, the simplified expression is 1 / u6v2.