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2^{3}\left(x^{2}\right)^{3}z^{3}\times 2x^{3}y^{3}z^{3}
Expand \left(2x^{2}z\right)^{3}.
2^{3}x^{6}z^{3}\times 2x^{3}y^{3}z^{3}
To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.
8x^{6}z^{3}\times 2x^{3}y^{3}z^{3}
Calculate 2 to the power of 3 and get 8.
16x^{6}z^{3}x^{3}y^{3}z^{3}
Multiply 8 and 2 to get 16.
16x^{9}z^{3}y^{3}z^{3}
To multiply powers of the same base, add their exponents. Add 6 and 3 to get 9.
16x^{9}z^{6}y^{3}
To multiply powers of the same base, add their exponents. Add 3 and 3 to get 6.
2^{3}\left(x^{2}\right)^{3}z^{3}\times 2x^{3}y^{3}z^{3}
Expand \left(2x^{2}z\right)^{3}.
2^{3}x^{6}z^{3}\times 2x^{3}y^{3}z^{3}
To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.
8x^{6}z^{3}\times 2x^{3}y^{3}z^{3}
Calculate 2 to the power of 3 and get 8.
16x^{6}z^{3}x^{3}y^{3}z^{3}
Multiply 8 and 2 to get 16.
16x^{9}z^{3}y^{3}z^{3}
To multiply powers of the same base, add their exponents. Add 6 and 3 to get 9.
16x^{9}z^{6}y^{3}
To multiply powers of the same base, add their exponents. Add 3 and 3 to get 6.