Question

please tell step by step​

Answer 1

Step-by-step explanation:

(i) 0.9^-

x=0.9^- equation 1

multiplying both the side by 10

10x=9.9^- equation 2

subtract from equation 2 to 1

10x=9.9^-

-x=0.9^-

9x=9

x=9/9

(ii) 0.57^-

x=0.57^-

100x=57.57^-

subtract from equation 2 to 1

100x=57.57^-

-x=0.57^-

99x=57

x=57/99

(iii) 0.729^-

x=0.729^-

10x=7.29^- equation 1

1000x=729.29^- equation 2

subtract from equation 2 to 1

1000x=729.29^-

10x=7.29^-

990x=722

x=722/990

(iv) 12.28^-

x=12.28^-

10x=122.8^- equation 1

100x=1228.8^- equation 2

subtract from equation2 to 1

100x=1228.8^-

10x=122.8^-

90x=1106

x=1106/90