[Solved] Cannot solve java.lang.ArrayIndexOutOfBoundsException

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Error message indicates that it fails for i = 5, but your loop is conditioned on the value of m, so something is wrong with your loop.

Printing the value of i and m for each iteration up to i = 5 will show you the error:

for (int i=0, m=2; i <= 5; i++) {
    m = (int) Math.pow(m, i);
    System.out.println(i + ": " + m);
}

OUTPUT (Ideone)

0: 1
1: 1
2: 1
3: 1
4: 1
5: 1

As you can see, m is always 1.

That is because first iteration calculates:

i=0,m=2: 2⁰ = 1
i=1,m=1: 1¹ = 1
i=2,m=1: 1² = 1
i=3,m=1: 1³ = 1
i=4,m=1: 1⁴ = 1
i=5,m=1: 1⁵ = 1

Debugging your code should have easily shown you this, faster than getting answer here.

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solved Cannot solve java.lang.ArrayIndexOutOfBoundsException