Evaluate - (3/4)-2 × (9/16)4 × (59/100)0

Asked by mangalgeneral | 1st Jun, 2020, 07:50: PM

Expert Answer:

(3/4)-2 × (9/16)4 × (59/100)0
= (4/3)2 x (9/16)4 x 1    ...  (Since a0 = 1 for any number a   and  (a/b)-n = (b/a)n)
= 42/32 x 94/164    ...   Since (a/b)m = am/bm
= 16 x 9-1 x 9x 16-4    ...  Since (1/a)m = a-m
= 161-4 x 9-1+4   ...   Since am x an = am+n
= 16-3 x 93
= 93/163    ...  Since (1/a)m = a-m
= (9/16)3     ...  Since (a/b)m = am/bm

Answered by Renu Varma | 2nd Jun, 2020, 11:47: AM