Answer: The correct simplified form is 1/3x. So, the correct option is c.
Step-by-step explanation:
Given that an expression (3x)⁻¹, we need to simply it,
To simplify (3x)⁻¹, we can apply the rule that the inverse of a number or expression is equal to 1 divided by that number or expression. In this case, we have:
(3x)⁻¹ = 1/(3x)
So, the correct simplified form is C. 1/3x.
Option A (81x⁴) is incorrect because it does not involve taking the inverse of (3x).
Option B (4x⁶) is incorrect because it does not involve taking the inverse of (3x).
Option D (1/x⁶) is incorrect because it involves taking the inverse of only x, not the entire expression (3x).
Hence the correct option is c.
