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basically you start at the end and work yourself backwards.

y=2^(2^(2^3))

y=2^(2^(8))

y=2^(256)

2256

It depends on how you read it. If you take it to mean: ((22)2)3 ,which you're taking 2 squared, then square that result, then cube that result, then you would just multiply the exponents: 2 x 2 x 3 = 12, so 212

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Q: Write 2 to the 2 power 2 to the 3 power as one power?
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