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\frac{\left(k^{3t+2}\right)^{10}}{\left(k^{2+3t}\right)^{10}}
To raise \frac{k^{3t+2}}{k^{2+3t}} to a power, raise both numerator and denominator to the power and then divide.
1
Divide \left(k^{3t+2}\right)^{10} by \left(k^{2+3t}\right)^{10} to get 1.