Texas Instruments TI-83 Plus Manual page 27

Multiplication, Division, and Power Rules
Multiplication and division are performed in floating-point mode.
The final result is rounded so that the number of significant
figures in the result is the same as the number of significant
figures in the factor having the least number of significant
figures.

Example:
12.257
4
1.36
16.66952 16.7
When you raise a value to a power, the base is the factor that
determines the number of significant figures in the result. The
exponent is always an exact value in the calculation.

Example:
33
^ 2
1089 1100
TI-83 Plus Science Tools Application
(5 significant figures)
(3 significant figures)
(3 significant figures)
(2 significant figures)
(treated as exact)
(2 significant figures)
Page 27