### Question 1
To determine which of the following expressions equal 1, we need to recall the rules of exponents:
1. Any non-zero number raised to the power of 0 is equal to 1 (e.g., \(m^0 = 1\)).
2. A number raised to the power of 1 equals the number itself (e.g., \(67^1 = 67\)).
3. The value of an exponent does not influence the outcome of powers of 0.
Now, let's analyze each option.
1. **m0** (or \(m^0\)): This expression equals 1, provided \(m \neq 0\).
2. **w9** (or \(w^9\)): This does not equal 1, as it equals \(w\) multiplied by itself 9 times.
3. **890** (or \(89^0\)): This equals 1, following the rule that any non-zero number raised to the power of 0 equals 1.
4. **671** (or \(67^1\)): This equals 67, as raising to the power of 1 gives the number itself.
Thus, the expressions that equal 1 are:
- **m0** (m to the 0 power)
- **890** (89 to the 0 power)
### Question 2
To simplify the expression \(3^{-4}\), we can use the rule that \(a^{-n} = \frac{1}{a^{n}}\).
Thus:
\[
3^{-4} = \frac{1}{3^{4}} = \frac{1}{81}
\]
So, the simplified answer as a fraction is:
\(\frac{1}{81}\)