If pq=23 and uv= 1/23 find the value of (u)(q)(v)(p). explain which properties you used.

The value of (u)(q)(v)(p) is 23*(1/23) = 1.

Note that the multiplicands in (u)(q)(v)(p) can be arranged in any order without affecting the final outcome (product). (u)(q)(v)(p), in this sense, is exactly the same as pq*uv, or just pquv, or (pq)*(uv).

The rule that applies here is the commutative rule for multiplication.