To solve the given expression $$-3^4 - (-5)^3$$, we will first evaluate each term separately and then perform the subtraction.
First, let's calculate $$-3^4$$. Remember that the exponent applies only to the 3, not to the negative sign. So,
$$-3^4 = -(3 \times 3 \times 3 \times 3) = -81$$
Next, let's calculate $$(-5)^3$$. This means multiplying -5 by itself three times:
$$(-5)^3 = (-5) \times (-5) \times (-5) = 25 \times (-5) = -125$$
Now, substitute these values back into the original expression:
$$-3^4 - (-5)^3 = -81 - (-125)$$
Subtracting a negative number is the same as adding its positive counterpart:
$$-81 - (-125) = -81 + 125$$
Now, perform the addition:
$$-81 + 125 = 44$$
Therefore, the final answer is 44.
Answer: 44