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\left(27^{\frac{2}{3}}\right)^{4}
Use the rules of exponents to simplify the expression.
27^{\frac{2}{3}\times 4}
To raise a power to another power, multiply the exponents.
27^{\frac{8}{3}}
Multiply \frac{2}{3} times 4.
6561
Raise 27 to the power \frac{8}{3}.