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\left(x^{3}x^{3}\right)^{2}
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
\left(x^{6}\right)^{2}
To multiply powers of the same base, add their exponents. Add 3 and 3 to get 6.
x^{6\times 2}
To raise a power to another power, multiply the exponents.
x^{12}
Multiply 6 times 2.
\left(x^{3}x^{3}\right)^{2}
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
\left(x^{6}\right)^{2}
To multiply powers of the same base, add their exponents. Add 3 and 3 to get 6.
x^{6\times 2}
To raise a power to another power, multiply the exponents.
x^{12}
Multiply 6 times 2.