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\left(81x^{4}\right)^{2}
Use the rules of exponents to simplify the expression.
81^{2}\left(x^{4}\right)^{2}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
6561\left(x^{4}\right)^{2}
Raise 81 to the power 2.
6561x^{4\times 2}
To raise a power to another power, multiply the exponents.
6561x^{8}
Multiply 4 times 2.
\left(81x^{4}\right)^{2}
Use the rules of exponents to simplify the expression.
81^{2}\left(x^{4}\right)^{2}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
6561\left(x^{4}\right)^{2}
Raise 81 to the power 2.
6561x^{4\times 2}
To raise a power to another power, multiply the exponents.
6561x^{8}
Multiply 4 times 2.