(-) = 9
(-) = -27
(-) = 81
extend the pattern to six factors of -3

The pattern for six factors of -3 is:

(-3)(-3) = 9

(-3)(-3)(-3) = -27

(-3)(-3)(-3)(-3) = 81

(-3)(-3)(-3)(-3)(-3) = -243

(-3)(-3)(-3)(-3)(-3)(-3) = 729

Solution:

Given that we have to extend the pattern to six factors of -3

Given pattern is:

(-3)(-3) = 9

(-3)(-3)(-3) = -27

(-3)(-3)(-3)(-3) = 81

Remember:

When multiplying more than two positive and negative numbers, use the Even-Odd Rule: Count the number of negative signs — if you have an even number of negatives, the result is positive, but if you have an odd number of negatives, the result is negative.

Let us extend the pattern to five factors of -3 and then to six factors of -3

(-3)(-3)(-3)(-3)(-3)

Multiply them together to get result

(-3)(-3)(-3)(-3)(-3) = 9 x 9 x (-3) = 81 x (-3) = -243

Now find for six factors of -6

(-3)(-3)(-3)(-3)(-3)(-3) = 9 x 9 x 9 = 729

Thus pattern for six factors of -3 is:

(-3)(-3) = 9

(-3)(-3)(-3) = -27

(-3)(-3)(-3)(-3) = 81

(-3)(-3)(-3)(-3)(-3) = -243

(-3)(-3)(-3)(-3)(-3)(-3) = 729

answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.

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