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(-a)^{n} with a=8a = 8 and n=2n = 2.

Step 1: Determine the parity of the exponent nn.

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

Final Answer: 64

Solution

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

Step 1: Apply the negation after exponentiation.

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

Final Answer: -25
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