# File mathn.rb, line 126
  def ** (other)
    if other.kind_of?(Rational)
      other2 = other
      if self < 0
        return Complex.new!(self, 0) ** other
      elsif other == 0
        return Rational(1,1)
      elsif self == 0
        return Rational(0,1)
      elsif self == 1
        return Rational(1,1)
      end
      
      npd = numerator.prime_division
      dpd = denominator.prime_division
      if other < 0
        other = -other
        npd, dpd = dpd, npd
      end
      
      for elm in npd
        elm[1] = elm[1] * other
        if !elm[1].kind_of?(Integer) and elm[1].denominator != 1
         return Float(self) ** other2
        end
        elm[1] = elm[1].to_i
      end
      
      for elm in dpd
        elm[1] = elm[1] * other
        if !elm[1].kind_of?(Integer) and elm[1].denominator != 1
         return Float(self) ** other2
        end
        elm[1] = elm[1].to_i
      end
      
      num = Integer.from_prime_division(npd)
      den = Integer.from_prime_division(dpd)
      
      Rational(num,den)
      
    elsif other.kind_of?(Integer)
      if other > 0
        num = numerator ** other
        den = denominator ** other
      elsif other < 0
        num = denominator ** -other
        den = numerator ** -other
      elsif other == 0
        num = 1
        den = 1
      end
      Rational.new!(num, den)
    elsif other.kind_of?(Float)
      Float(self) ** other
    else
      x , y = other.coerce(self)
      x ** y
    end
  end

# File mathn.rb, line 120
  def inspect
    format "%s/%s", numerator.inspect, denominator.inspect
  end

# File mathn.rb, line 187
  def power2(other)
    if other.kind_of?(Rational)
      if self < 0
        return Complex(self, 0) ** other
      elsif other == 0
        return Rational(1,1)
      elsif self == 0
        return Rational(0,1)
      elsif self == 1
        return Rational(1,1)
      end
      
      dem = nil
      x = self.denominator.to_f.to_i
      neard = self.denominator.to_f ** (1.0/other.denominator.to_f)
      loop do
        if (neard**other.denominator == self.denominator)
          dem = neaed
          break
        end
      end
      nearn = self.numerator.to_f ** (1.0/other.denominator.to_f)
      Rational(num,den)
      
    elsif other.kind_of?(Integer)
      if other > 0
        num = numerator ** other
        den = denominator ** other
      elsif other < 0
        num = denominator ** -other
        den = numerator ** -other
      elsif other == 0
        num = 1
        den = 1
      end
      Rational.new!(num, den)
    elsif other.kind_of?(Float)
      Float(self) ** other
    else
      x , y = other.coerce(self)
      x ** y
    end
  end