Evaluate the following Expression.
(A) ${(-4)}^4$

• A. $16$
• B. $-256$
• C. $-16$
• D. $256$

Answer: (D)

Verified step by step guidance

1. Identify the expression to evaluate: \(\left(-4\right)^4\).
2. Recall that raising a number to a power means multiplying that number by itself as many times as the exponent indicates. Here, the exponent is 4, so multiply \(-4\) by itself 4 times: \((-4) \times (-4) \times (-4) \times (-4)\).
3. Multiply the first two factors: \((-4) \times (-4) = 16\). Remember that a negative times a negative is a positive.
4. Multiply the next two factors similarly: \((-4) \times (-4) = 16\).
5. Finally, multiply the two results: \(16 \times 16 = 256\). This gives the value of \(\left(-4\right)^4\).