FIGHT the POWER Mystery Cache

Welcome to a very difficult math problem which is what gives this geocache a Difficulty rating of 4.5    Once you solve the math problem, the Terrain rating is only a 1.5

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 42° AB.CDE W 89° FG.HIJ

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

B = last digit in base 3 to the 3,488th power (3³⁴⁸⁸)

C = last digit in base 8 to the 8,779th power (8⁸⁷⁷⁹)

D = last digit in base 9 to the 23,831st power (9²³⁸³¹)

E = last digit in base 4 to the 85,322nd power (4⁸⁵³²²)

F = last digit in base 0 to the 418th power (0⁴¹⁸)

G = last digit in base 3 to the 737rd power (3⁷³⁷)

H = last digit in base 7 to the 1,264th power (7¹²⁶⁴)

I = last digit in base 0 to the 23,832nd power (0²³⁸³²)

J = last digit in base 2 to the 183,187th power (2¹⁸³¹⁸⁷)