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HP 49G, 48GII, and 49G+ Calculator - Terms with a Decimal Point in the Exponents will Not Expand or Simplify

Introduction
The calculator does not divide terms with like bases properly when decimal points are used in exponents. The calculator can only simplify terms with rational (fractional) exponents. Simplification of an expression requires the use of the EXPAND or SIMPLIFY command (depending on your ROM version). This command will not simplify terms that have decimal points in the exponents. An expression with an exponent must be written with the exponent expressed as a fraction rather than a decimal.
Example
When an expression with a decimal point in the exponent, such as the one below, is entered into the equation writer and then simplified, nothing happens. It will not simplify.
Incorrect entry:
X^(0.5)
---------
X
With the same expression rewritten as follows, the simplification is successful, and it returns the square root of X as the answer.
Correct entry:
X^(1/2)
---------
X
Further information
This issue has to do with how the calculator deals with integers and real numbers, and also the usage of exact mode on the calculator. For more information, see pages 2-8 and 2-19 in the HP 49g User's Guide.

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