Problem doing math with very small numbers in Arduino IDE

  int m = 0.0;
  float vout = 0.0;
  float rT = 0.0;
  float tempC = 0.0;
  float up = 0.0;
  float e = 0.0;
  float inside = 0.000;
  m = analogRead(A9);
  Serial.print("M = ");
  Serial.println(m);
  vout = m*(0.0048828125);
  Serial.print("Vout = ");
  Serial.println(vout);
  rT = (50000/vout)-10000;
  Serial.print("rT = ");
  Serial.println(rT, 10);
  e = exp(1);
  up = -3380/25;
  Serial.print("up = ");
  Serial.println(up);
  inside = 10000*(pow(e, up));
  Serial.print("inside the parenthesis = ");
  Serial.println(inside,60);
  tempC = (rT/(inside));
  tempC = tempC*(pow(10,55));
  Serial.println(tempC);
  tempC = log(tempC);
  tempC = 3380/tempC;
  Serial.print("tempC = ");

I attached an image file of the equation I am trying to do. This equation gives temperature in Celsius based on resistance (rT) which I have already calculated to be around 9200. The issues start when I first try to print tempC and it tells me that it is "inf" when in reality it is just a very large number. Any help would be appreciated.

tempC = tempC*(pow(10,55));

IIRC, floats are good up to about 1038

The code you posted doesn't compile, BTW

Seems you're working with a 10k thermistor.

0.0048828125
When will that happen, with a noisy/unstable 5volt supply and a 10-bit A/D.

The default A/D of an Arduino is ratiometric.
A resistor/thermistor returns a ratio of the range of the A/D.
Voltage is (should be) irrelevant.

Google "Steinhart-Hart equation".
Or study one of the many thermistor sketches.
They first calculate the resistance of the thermistor, and from there temperature.
Leo..

There is little point in doing an integer divide here.

  up = -3380/25;

About 54 of the 60 digits printed by this line are nonsense:

  Serial.println(inside,60);