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\left(x^{2}x^{2}\right)^{2}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 4 from 6 to get 2.
\left(x^{4}\right)^{2}
To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.
x^{4\times 2}
To raise a power to another power, multiply the exponents.
x^{8}
Multiply 4 times 2.
\left(x^{2}x^{2}\right)^{2}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 4 from 6 to get 2.
\left(x^{4}\right)^{2}
To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.
x^{4\times 2}
To raise a power to another power, multiply the exponents.
x^{8}
Multiply 4 times 2.