Final answer:
The expression (14m^3)^-2 simplifies to 1/(196m^6) by using the rule of negative exponents to get 1/(14m^3)^2 and then squaring each part of the term inside the parentheses.
Step-by-step explanation:
To simplify the expression (14m3)-2, we should understand each part of the term. (14m3)-2 is equivalent to 1 divided by (14m3)2, which is the rule of negative exponents in algebra.
Now, let's simplify further. When you square the term inside the parenthesis, 14m3, you get 196m6.
Therefore, the final simplified form of (14m3)-2 is 1/(196m6).
Learn more about Simplifying exponents