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\left(\frac{2^{3}x^{3}}{y}\right)^{-2}
Cancel out y in both numerator and denominator.
\left(\frac{8x^{3}}{y}\right)^{-2}
Calculate 2 to the power of 3 and get 8.
\frac{\left(8x^{3}\right)^{-2}}{y^{-2}}
To raise \frac{8x^{3}}{y} to a power, raise both numerator and denominator to the power and then divide.
\frac{8^{-2}\left(x^{3}\right)^{-2}}{y^{-2}}
Expand \left(8x^{3}\right)^{-2}.
\frac{8^{-2}x^{-6}}{y^{-2}}
To raise a power to another power, multiply the exponents. Multiply 3 and -2 to get -6.
\frac{\frac{1}{64}x^{-6}}{y^{-2}}
Calculate 8 to the power of -2 and get \frac{1}{64}.
\left(\frac{2^{3}x^{3}}{y}\right)^{-2}
Cancel out y in both numerator and denominator.
\left(\frac{8x^{3}}{y}\right)^{-2}
Calculate 2 to the power of 3 and get 8.
\frac{\left(8x^{3}\right)^{-2}}{y^{-2}}
To raise \frac{8x^{3}}{y} to a power, raise both numerator and denominator to the power and then divide.
\frac{8^{-2}\left(x^{3}\right)^{-2}}{y^{-2}}
Expand \left(8x^{3}\right)^{-2}.
\frac{8^{-2}x^{-6}}{y^{-2}}
To raise a power to another power, multiply the exponents. Multiply 3 and -2 to get -6.
\frac{\frac{1}{64}x^{-6}}{y^{-2}}
Calculate 8 to the power of -2 and get \frac{1}{64}.