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\left(-\frac{1}{2}x^{2}y^{3}\right)^{3}
Use the rules of exponents to simplify the expression.
\left(-\frac{1}{2}\right)^{3}\left(x^{2}\right)^{3}\left(y^{3}\right)^{3}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
-\frac{1}{8}\left(x^{2}\right)^{3}\left(y^{3}\right)^{3}
Raise -\frac{1}{2} to the power 3.
-\frac{1}{8}x^{2\times 3}y^{3\times 3}
To raise a power to another power, multiply the exponents.
-\frac{1}{8}x^{6}y^{3\times 3}
Multiply 2 times 3.
-\frac{1}{8}x^{6}y^{9}
Multiply 3 times 3.
\left(-\frac{1}{2}x^{2}y^{3}\right)^{3}
Use the rules of exponents to simplify the expression.
\left(-\frac{1}{2}\right)^{3}\left(x^{2}\right)^{3}\left(y^{3}\right)^{3}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
-\frac{1}{8}\left(x^{2}\right)^{3}\left(y^{3}\right)^{3}
Raise -\frac{1}{2} to the power 3.
-\frac{1}{8}x^{2\times 3}y^{3\times 3}
To raise a power to another power, multiply the exponents.
-\frac{1}{8}x^{6}y^{3\times 3}
Multiply 2 times 3.
-\frac{1}{8}x^{6}y^{9}
Multiply 3 times 3.