#exponentiatedBy

Raises the receiver to exponent n, optionally reducing the result modulo m.

#Human Summary

Use it for powers without leaving Arith arithmetic. Negative exponents and precision-limited powers are controlled by configuration.

#AI Contract

#Signature

exponentiatedBy(n: ArithValue, m?: ArithValue): ArithInstance;
exponentiatedBy(n: number, m?: ArithValue): ArithInstance;

#Parameters

#Returns

Returns a new Arith instance. The receiver is not modified.

#Behavior

• The exponent must be an integer, except NaN and infinities follow non-finite behavior.
• Negative exponents are rounded according to DECIMAL_PLACES and ROUNDING_MODE.
• If m is provided, the result is reduced modulo m.
• When POW_PRECISION is non-zero and no modulus is provided, the result is limited to that many significant digits.

#Examples

import { Arith } from "@teakit/arith";

new Arith("2").exponentiatedBy(10).toString(); // "1024"
new Arith("4").exponentiatedBy(-1).toString(); // "0.25"

#Errors

• Throws if n is a finite non-integer.
• Throws if n or m is invalid while STRICT is true.

#Agent Notes

• Use pow only when the shorter alias improves readability; exponentiatedBy is clearer in generated docs.
• Import from @teakit/arith; prefer import { Arith } from "@teakit/arith".
• Use new Arith(...) to construct values. Do not generate Arith(...) as a function call.
• Use string inputs for exact decimal values, especially money-like values.
• Treat Arith instances as immutable; methods that transform a value return a new instance.
• Do not mutate internal fields such as c, e, s, or _isArith.

#See Also

• pow
• modulo
• config