Questions: Evaluate. (-8)^2= -(5)^2=

Transcript text: Evaluate. \[ \begin{array}{l} (-8)^{2}= \\ -(5)^{2}= \end{array} \]

Solution

Solution

Given the expression is of the form $(-a)^{n}$ with $a = 8$ and $n = 2$ .

Step 1: Determine the parity of the exponent

n

Since $n = 2$ is even, the expression simplifies to $a^{n} = 8^{n}$ .

Solution

Given the expression is of the form $-a^{n}$ with $a = 5$ and $n = 2$ .

Step 1: Apply the negation after exponentiation.

The expression simplifies to $-a^{n} = -5^{n}$ .

Final Answer: -25

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