The problem asks us to rewrite the expression $18m^{-4}x^2$ such that all exponents are positive. The final answer should be in standard form (alphabetical order of the variables).

1. Problem Description

The problem asks us to rewrite the expression $18m^{-4}x^2$ such that all exponents are positive. The final answer should be in standard form (alphabetical order of the variables).

2. Solution Steps

We are given the expression $18m^{-4}x^2$. We need to rewrite the expression so that all exponents are positive. The only term with a negative exponent is $m^{-4}$.

We know that $a^{-n} = \frac{1}{a^n}$.

Therefore, $m^{-4} = \frac{1}{m^4}$.

Substituting this back into the original expression, we get

$18m^{-4}x^2 = 18 \cdot \frac{1}{m^4} \cdot x^2 = \frac{18x^2}{m^4}$.

Since we are asked to write it in alphabetical order (standard form), we need to make sure $m$ comes after $x$ in the denominator.

3. Final Answer

$\frac{18x^2}{m^4}$