Final answer:
The term 1/5x^3 expressed in inverse notation is written as (5x^3)^-1, applying the principle that a negative exponent represents a term in the denominator.
Step-by-step explanation:
To express the term 1/5x^3 using inverse notation, we need to apply the concept where negative exponents flip the construction to the denominator, or denote a division rather than multiplication. In other words, x-n is equivalent to 1/xn. For the given expression, if we consider x3 as the base, then we can rewrite 1/5x^3 as (5x^3)-1. This because the negative exponent indicates that the base, which is 5x3, is in the denominator. Therefore, the inverse notation of 1/5x^3 is (5x^3)-1.