To solve the given mathematical expression:

$4^2 - \sqrt[3]{27} \div (-1)^3$

Step-by-step Solution:

1. Evaluate $4^2$: $4^2 = 16$

2. Evaluate $\sqrt[3]{27}$: The cube root of $27$ is: $\sqrt[3]{27} = 3$

3. Evaluate $(-1)^3$: $(-1)^3 = -1$

4. Divide $\sqrt[3]{27} \div (-1)^3$: $3 \div (-1) = -3$

5. Combine results in the full expression: $16 - (-3)$ Simplify: $16 + 3 = 19$

Final Answer:

$\boxed{19}$

Would you like further clarification or have other questions?

Here are 5 related questions:

1. What is the general formula for evaluating powers and roots?
2. How do negative bases affect powers with odd exponents?
3. What is the difference between cube roots and square roots?
4. Can we apply similar steps to fractions and decimals in such expressions?
5. How can parentheses influence the order of operations in expressions?

Tip: Always remember to follow the order of operations (PEMDAS/BODMAS) when solving expressions with multiple steps.