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\left(\frac{1}{y^{8}}\right)^{6}
Rewrite y^{10} as y^{2}y^{8}. Cancel out y^{2} in both numerator and denominator.
\frac{1^{6}}{\left(y^{8}\right)^{6}}
To raise \frac{1}{y^{8}} to a power, raise both numerator and denominator to the power and then divide.
\frac{1^{6}}{y^{48}}
To raise a power to another power, multiply the exponents. Multiply 8 and 6 to get 48.
\frac{1}{y^{48}}
Calculate 1 to the power of 6 and get 1.
\left(\frac{1}{y^{8}}\right)^{6}
Rewrite y^{10} as y^{2}y^{8}. Cancel out y^{2} in both numerator and denominator.
\frac{1^{6}}{\left(y^{8}\right)^{6}}
To raise \frac{1}{y^{8}} to a power, raise both numerator and denominator to the power and then divide.
\frac{1^{6}}{y^{48}}
To raise a power to another power, multiply the exponents. Multiply 8 and 6 to get 48.
\frac{1}{y^{48}}
Calculate 1 to the power of 6 and get 1.