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\left(2x^{8}\right)^{2}
Use the rules of exponents to simplify the expression.
2^{2}\left(x^{8}\right)^{2}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
4\left(x^{8}\right)^{2}
Raise 2 to the power 2.
4x^{8\times 2}
To raise a power to another power, multiply the exponents.
4x^{16}
Multiply 8 times 2.
\left(2x^{8}\right)^{2}
Use the rules of exponents to simplify the expression.
2^{2}\left(x^{8}\right)^{2}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
4\left(x^{8}\right)^{2}
Raise 2 to the power 2.
4x^{8\times 2}
To raise a power to another power, multiply the exponents.
4x^{16}
Multiply 8 times 2.