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\left(6x^{2}y^{1}\right)^{2}
Use the rules of exponents to simplify the expression.
6^{2}\left(x^{2}\right)^{2}\left(y^{1}\right)^{2}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
36\left(x^{2}\right)^{2}\left(y^{1}\right)^{2}
Raise 6 to the power 2.
36x^{2\times 2}y^{2}
To raise a power to another power, multiply the exponents.
36x^{4}y^{2}
Multiply 2 times 2.
\left(6x^{2}y^{1}\right)^{2}
Use the rules of exponents to simplify the expression.
6^{2}\left(x^{2}\right)^{2}\left(y^{1}\right)^{2}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
36\left(x^{2}\right)^{2}\left(y^{1}\right)^{2}
Raise 6 to the power 2.
36x^{2\times 2}y^{2}
To raise a power to another power, multiply the exponents.
36x^{4}y^{2}
Multiply 2 times 2.