What is the relationship between where the element is located within a "block" in the periodic table and the superscripted value (like the exponent) appearing at the end of the electron configuration for an element ?

The relationship between where elements is located in a block and super scripted value appearing at the end of the electronic configuration is that it gives information on the group the element exist in each block.

Explanation:

Blocks in the periodic table are divided as S, P, D AND F blocks.  Representing elements with a electronic configuration gives information on the block that the elements falls on . For example Sodium and fluorine configurations are as follows ;

Sodium → 1s²2s²2p∧6 3s∧1

flourine → 1s²2s²2p∧5

The outer shell that ends the configuration determines the block it belongs. In this case sodium belongs to the s block while fluorine belongs to the p blocks. Then the super scripted value which is 1 for sodium depict it belong to group 1 of the s blocks. The super scripted  value for fluorine which is 5 shows the element belongs to group 5 in the p blocks.