Let A and B be 3x3 matrices, with det A=6 and det B=-9. Use properties of determinants to complete parts (a) through (e) below.a) Compute det AB.det AB = __________ (Type an integer or a fraction.)b) Compute det 5Adet 5A= ____________ (Type an integer or a fraction.)c) Compute det Bdet B= ________________ (Type an integer or a fraction.)d) Compute det A^(-1)det A^(-1) = ___________ (Type an integer or a simplified fraction.)e) Compute det A³det A³ = ___________ (Type an integer or a fraction.)