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\left(2x^{2}y^{1}z^{1}\right)^{3}
Use the rules of exponents to simplify the expression.
2^{3}\left(x^{2}\right)^{3}\left(y^{1}\right)^{3}\left(z^{1}\right)^{3}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
8\left(x^{2}\right)^{3}\left(y^{1}\right)^{3}\left(z^{1}\right)^{3}
Raise 2 to the power 3.
8x^{2\times 3}y^{3}z^{3}
To raise a power to another power, multiply the exponents.
8x^{6}y^{3}z^{3}
Multiply 2 times 3.
\left(2x^{2}y^{1}z^{1}\right)^{3}
Use the rules of exponents to simplify the expression.
2^{3}\left(x^{2}\right)^{3}\left(y^{1}\right)^{3}\left(z^{1}\right)^{3}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
8\left(x^{2}\right)^{3}\left(y^{1}\right)^{3}\left(z^{1}\right)^{3}
Raise 2 to the power 3.
8x^{2\times 3}y^{3}z^{3}
To raise a power to another power, multiply the exponents.
8x^{6}y^{3}z^{3}
Multiply 2 times 3.