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\left(-5x^{2}y^{3}\right)^{2}
Use the rules of exponents to simplify the expression.
\left(-5\right)^{2}\left(x^{2}\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.
25\left(x^{2}\right)^{2}\left(y^{3}\right)^{2}
Raise -5 to the power 2.
25x^{2\times 2}y^{3\times 2}
To raise a power to another power, multiply the exponents.
25x^{4}y^{3\times 2}
Multiply 2 times 2.
25x^{4}y^{6}
Multiply 3 times 2.
\left(-5x^{2}y^{3}\right)^{2}
Use the rules of exponents to simplify the expression.
\left(-5\right)^{2}\left(x^{2}\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.
25\left(x^{2}\right)^{2}\left(y^{3}\right)^{2}
Raise -5 to the power 2.
25x^{2\times 2}y^{3\times 2}
To raise a power to another power, multiply the exponents.
25x^{4}y^{3\times 2}
Multiply 2 times 2.
25x^{4}y^{6}
Multiply 3 times 2.