3 power -5 * 10 power-5*125 ÷  5 power -7 *6 power -5

Asked by soumyajagtap11.8spicertl | 1st Jun, 2020, 02:31: PM

Expert Answer:

3-5 x 10-5 x (125/5)-7 x 6-5
= 3-5 x (2x5)-5 x (52)-7 x (2x3)-5      ... Since 10 = 2 x 5 and 125/5=25=52
= 3-5 x 2-5 x 5-5 x 5-14 x 2-5 x 3-5    ... Since (ab)m = am x bm   and   (am)n=amn
= 3-5-5 x 2-5-5 x 5-5-14    ... Since am x an = am+n
= 3-10 x 2-10 x 5-19
= 6-10 x 5-19   ... Since (ab)m = am x bm 

Answered by Renu Varma | 1st Jun, 2020, 04:45: PM