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\left(4x^{7}y^{3}\right)^{2}
Use the rules of exponents to simplify the expression.
4^{2}\left(x^{7}\right)^{2}\left(y^{3}\right)^{2}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
16\left(x^{7}\right)^{2}\left(y^{3}\right)^{2}
Raise 4 to the power 2.
16x^{7\times 2}y^{3\times 2}
To raise a power to another power, multiply the exponents.
16x^{14}y^{3\times 2}
Multiply 7 times 2.
16x^{14}y^{6}
Multiply 3 times 2.
\left(4x^{7}y^{3}\right)^{2}
Use the rules of exponents to simplify the expression.
4^{2}\left(x^{7}\right)^{2}\left(y^{3}\right)^{2}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
16\left(x^{7}\right)^{2}\left(y^{3}\right)^{2}
Raise 4 to the power 2.
16x^{7\times 2}y^{3\times 2}
To raise a power to another power, multiply the exponents.
16x^{14}y^{3\times 2}
Multiply 7 times 2.
16x^{14}y^{6}
Multiply 3 times 2.