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\left(\left(\frac{2}{3}\right)^{0}\right)^{3}
To raise a power to another power, multiply the exponents. Multiply 2 and 0 to get 0.
1^{3}
Calculate \frac{2}{3} to the power of 0 and get 1.
1
Calculate 1 to the power of 3 and get 1.