Compare (-1) Raised to Powers 69 and 79: Which Value is Larger?

Question

Which is larger?

(1)69(1)79 (-1)^{69}⬜-(-1)^{79}

Video Solution

Step-by-Step Solution

First, let's evaluate (1)69(-1)^{69}. Since 69 is an odd number, (1)69=1(-1)^{69} = -1.

Next, evaluate (1)79-(-1)^{79}. The power 79 is also odd, so (1)79=1(-1)^{79} = -1. Applying the additional negative sign results in (1)=1-(-1) = 1.

Now, we compare these two results. The expression (1)69=1(-1)^{69} = -1 and the expression (1)79=1-(-1)^{79} = 1.

Comparing the two: 1-1 is less than 11.

Therefore, the relationship is (1)69<(1)79(-1)^{69} < -(-1)^{79}.

The correct answer is <\lt.

Answer

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