a) Compare the first four powers of 11 with entries in Pascal's triangle. Describe any pattern you notice. b) Explain how you could express row 5 as a power of 11 by regrouping the entries. c) Demonstrate how to express rows 6 and 7 as powers of 11 using the regrouping method from part b). Describe your method clearly. Thanks :)

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The first few rows of Pascal's triangle are:

1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1

`11^0=1`

`11^1=11`

`11^2=121`

`11^3=1331`

`11^4=14641`

Now `11^5=161051`

The corresponding row is 1 5 10 10 5 1 -- the rightmost digits are (reading from right to left) 1 and 5; since 10 has 2 digits we place a...

(The entire section contains 132 words.)

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