Question

evaluate $-5^4$.

Explanation:

Step1: Understand the exponentiation

The expression \(-5^4\) means we first calculate \(5^4\) and then apply the negative sign. \(5^4 = 5\times5\times5\times5\).

Step2: Calculate \(5^4\)

\(5\times5 = 25\), \(25\times5 = 125\), \(125\times5 = 625\). So \(5^4 = 625\).

Step3: Apply the negative sign

Now, we apply the negative sign to the result of \(5^4\), so \(-5^4 = -625\).

Step1: Recall the order of operations

In the expression \(-5^4\), the exponentiation operation \(5^4\) is performed first, and then the negative sign is applied. The exponentiation \(a^n\) means multiplying \(a\) by itself \(n\) times. For \(5^4\), we have \(5\times5\times5\times5\).

Step2: Calculate \(5^4\)

\(5\times5 = 25\), \(25\times5 = 125\), \(125\times5=625\). So \(5^4 = 625\).

Step3: Apply the negative sign

Since the original expression is \(-5^4\), we take the negative of the result of \(5^4\). So \(-5^4=-625\).

Answer:

\(-25\) (Wait, no, correction: The correct calculation is \(5^4 = 5\times5\times5\times5 = 625\), so \(-5^4 = -625\). So the correct answer is \(-625\).)

Wait, let's redo the step - by - step correctly: