Fight the Power Mystery Cache

Welcome to a very difficult math problem which is what gives this geocache a Difficulty rating of 5.0    Once you solve the math problem, the Terrain rating is only a 1.0 which means people in wheel chairs will be able to retrieve the cache container which is located approximately 3 feet above ground level.

So here is how you can FIGHT THE POWER:

2²  which is said to be "base 2 to the second power".  This means you take 2 x 2 = 4

2³  which is said to be "base 2 to the third power".   This means you take 2 x 2 x 2 = 8

2⁴  which is said to be "base 2 to the fourth power".   This means you take 2 x 2 x 2 x 2 = 16

3²  which is said to be "base 3 to the second power".  This means you take 3 x 3 = 9

3³  which is said to be "base 3 to the third power".  This means you take 3 x 3 x 3 = 27

3⁴  which is said to be "base 3 to the fourth power".    This means you take 3 x 3 x 3 x 3 = 81

Now, you need to solve the following power expressions in order to obtain the values for the final coordinates.  

The FINAL coordinates are at N 44° AB.CDE W 91° FG.HIJ

A = last digit in base 5 to the 432nd power (5⁴³²)

B = last digit in base 3 to the 3473rd power (3³⁴⁷³)

C = last digit in base 2 to the 869,098th power (2⁸⁶⁹⁰⁹⁸)

D = last digit in base 7 to the 12,564th power (7¹²⁵⁶⁴)

E = last digit in base 4 to the 444,444th power (4⁴⁴⁴⁴⁴⁴)

F = last digit in base 5 to the 392,418th power (5³⁹²⁴¹⁸)

G = last digit in base 8 to the 56715th power (8⁵⁶⁷¹⁵)

H = last digit in base 2 to the 17,543rd power (2¹⁷⁵⁴³)

I = last digit in base 9 to the 3,532nd power (9³⁵³²)

J = last digit in base 0 to the 159,233rd power (0¹⁵⁹²³³)