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\left(-2x^{2}y^{-3}\right)^{5}
Use the rules of exponents to simplify the expression.
\left(-2\right)^{5}\left(x^{2}\right)^{5}\left(y^{-3}\right)^{5}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
-32\left(x^{2}\right)^{5}\left(y^{-3}\right)^{5}
Raise -2 to the power 5.
-32x^{2\times 5}y^{-3\times 5}
To raise a power to another power, multiply the exponents.
-32x^{10}y^{-3\times 5}
Multiply 2 times 5.
-32x^{10}\times \frac{1}{y^{15}}
Multiply -3 times 5.
\left(-2x^{2}y^{-3}\right)^{5}
Use the rules of exponents to simplify the expression.
\left(-2\right)^{5}\left(x^{2}\right)^{5}\left(y^{-3}\right)^{5}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
-32\left(x^{2}\right)^{5}\left(y^{-3}\right)^{5}
Raise -2 to the power 5.
-32x^{2\times 5}y^{-3\times 5}
To raise a power to another power, multiply the exponents.
-32x^{10}y^{-3\times 5}
Multiply 2 times 5.
-32x^{10}\times \frac{1}{y^{15}}
Multiply -3 times 5.