RULE XIIISUPERSCRIPTS AND SUBSCRIPTS
Level Indicators Base Line"
 Superscript^
 Superscript with Superscript^^
 Superscript with Subscript^;
 Superscript with Superscript with Superscript^^^
 Superscript with Superscript with Subscript^^;
 Superscript with Subscript with Superscript^;^
 Superscript with Subscript with Subscript^;;
 Subscript;
 Subscript with Superscript;^
 Subscript with Subscript;;
 Subscript with Superscript with Superscript;^^
 Subscript with Superscript with Subscript;^;
 Subscript with Subscript with Superscript;;^
 Subscript with Subscript with Subscript;;;
§71. Nature of Superscripts and Subscripts: It is characteristic of mathematical expressions to employ signs, usually in smaller type, which are elevated or depressed relative to the base line. A sign which is elevated relative to the base line is called a superscript; one which is depressed relative to the base line is called a subscript. When an entire expression is at the superscript or subscript level, it should be written without an indicator in braille, but its position must be explained to the reader by a transcriber's note.
§74. Orientation by Level Indicator:
b. The effect of a level indicator with two components may be analyzed as follows:
c. The effect of a level indicator with three components may be analyzed as follows:
verbose 
n Superscript
x Super Superscript
y Super Super Superscript
z Super Super Super Superscript
diagonal ellipsis 

verbose 
Integral Subscript
0 Superscript
StartRoot
1 minus x Super Superscript
2 Superscript
EndRoot
Baseline
f leftparenthesis x rightparenthesis d x 

verbose 
x Subscript
n minus 1 comma space n minus 1 Baseline
comma space x Subscript
n minus 1 comma space n Baseline
comma space x Subscript
n comma space n minus 1 

verbose 
Upper
A Superscript
n plus n plus n ellipsis to space m space n apostrophe s Baseline
equals a Superscript
m n 

verbose 
e Superscript
s i n Super Superscript
2 Superscript
space x plus s i n Super Superscript
2 Superscript
space y 

verbose 
x Superscript
2 Baseline
plus y Superscript
2 Baseline
plus z Superscript
2 Baseline
equals r Superscript
2 

verbose 
leftparenthesis 1 minus s i n Superscript
2 Baseline
space x rightparenthesis Superscript
2 Baseline
equals c o s Superscript
4 Baseline
space x 

h. Any symbol or situation other than those in a to g preserves the level that is already in effect.
verbose 
e Superscript
StartRoot
x Super Superscript
2 Superscript
plus y Super Superscript
2 Superscript
EndRoot


??!??
verbose 
Upper
P 1 Superscript
alpha 1 Baseline
ellipsis Upper
P Subscript
r Superscript
alpha Super Subscript
r 

verbose 
leftparenthesis 1 minus s i n Superscript
2 Baseline
space x rightparenthesis Superscript
2 Baseline
c o s Superscript
2 Baseline
space x 

§81. NonUse of Level Indicators:
c. A level indicator must not be used before any closing grouping symbol which is drawn in.
§82. Simultaneous and NonSimultaneous Superscripts and Subscripts:
§83. Primes in Addition to Superscripts or Subscripts:
a. The prime symbol must never be preceded by the superscript indicator.
c. For primes in other roles see §172.