Let us observe Pascal triangle `1:1=11^0` `2:11=11^1` `3:121=11^2` . Form a conjecture for row 4 and row.

Go back to Pascal’s triangle. Line 1 : 1 = 11^0 Line 2 : 1 1 = 11^1 Line 3 : 1 2 1 = 11^2 Make a conjecture about Line 4 and Line 5. Does your conjecture hold? Does your conjecture hold for Line 6 too?

Look at the following pattern: 1^2 = 1 11^2 = 121 111^2 = 12321 1111^2 = 1234321 11111^2 = 123454321 Make a conjecture about each of the following: 111111^2 = 1111111^2 = Check if your conjecture is true.

Simplify : 11^(1/2)/11^(1/4)

11^2 = 121 . What is the square root of 121.

If log 11=1.0414, prove that 10^11gt11^10 .

11^(1/2)/11^(1/4) equals to :

Observe the following pattern and find the missing digits: 1^2 = 1 11^2 = 121 111^2 = 12321 1111^2 = 1234321 111111^2 = ........ .

Observe the following pattern and find the missing digits: 1^2 = 1 11^2 = 121 111^2 = 12321 1111^2 = 1234321 11111111^2 = ........ .

Observe the following pattern and find the missing digits: 1^2 = 1 11^2 = 121 111^2 = 12321 1111^2 = 1234321 1111111^2 = ........ .