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

Evaluate.

(-8)^2=

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

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Solution Steps

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 \(a^{n} = 8^{n}\).

Final Answer: 64

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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