Evaluate -(-1)^80: Double Negative with Exponent Problem

Name: Video Solution: Evaluate -(-1)^80: Double Negative with Exponent Problem
Description: Step-by-step video solution

$-(-1)^{80}=$

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Step-by-step video solution

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00:00 Solve

00:04 First let's calculate the sign

00:08 Even power, therefore the sign will be positive

00:22 Let's calculate the power, 1 to any power is always equal to 1

00:27 Negative times positive is always negative

00:31 And this is the solution to the question

Step-by-step written solution

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Understand the problem

$-(-1)^{80}=$

Step-by-step solution

To solve this problem, we'll evaluate the expression $-(-1)^{80}$ .

Step 1: Evaluate $(-1)^{80}$ .

Since the exponent 80 is an even number, by applying the rule for negative powers, $(-1)^{80} = 1$ .

Step 2: Apply the negation.

The expression is $-(-1)^{80}$ , which simplifies to $-1$ , because negating 1 results in $-1$ .

Therefore, the solution to the problem is $-1$ .

Final Answer

$-1$

Practice Quiz

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$$ $$ -(2)^2= $$

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