If det(A)=−12\det(A) = -\frac{1}{2}det(A)=−21 for a 3×33 \times 33×3 matrix AAA, what is det(A10)\det(A^{10})det(A10)?
−11024-\frac{1}{1024}−10241
11024\frac{1}{1024}10241
−1512-\frac{1}{512}−5121
Cannot be determined