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\left(\left(\left(\left(\left(2^{4444444444}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}
To raise a power to another power, multiply the exponents. Multiply 2 and 2222222222 to get 4444444444.
\left(\left(\left(\left(2^{8888888888}\right)^{2}\right)^{2}\right)^{2}\right)^{2}
To raise a power to another power, multiply the exponents. Multiply 4444444444 and 2 to get 8888888888.
\left(\left(\left(2^{17777777776}\right)^{2}\right)^{2}\right)^{2}
To raise a power to another power, multiply the exponents. Multiply 8888888888 and 2 to get 17777777776.
\left(\left(2^{35555555552}\right)^{2}\right)^{2}
To raise a power to another power, multiply the exponents. Multiply 17777777776 and 2 to get 35555555552.
\left(2^{71111111104}\right)^{2}
To raise a power to another power, multiply the exponents. Multiply 35555555552 and 2 to get 71111111104.
2^{71111111104\times 2}
To raise a power to another power, multiply the exponents.
2^{142222222208}
Multiply 71111111104 times 2.