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 94 x 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
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