Simply a)[(32)-4]3 b)[(-5)-4 x 74]3 - Maths - Exponents and Powers

Question

Simply
a)[(32)-4]3
b)[(-5)-4 x 74]3

Sanjari Kalantri · Accepted Answer

Dear Student,

(a) [(32)-4]3 = 32 × -4 × 3 = 3-24 = 1324                            [Since, [(ax)y]z = axyz; a-x = 1ax](b) [(-5)-4 × 74]3 = [1(-5)4 × 74]3                                       [Since, a-x = 1ax]                                 = [(-15)4 × 74]3                                 = [(-75)4]3                                                  [Since, am × bm = (ab)m]                                 = (-75)12                                                    [Since, (ax)y = axy]