Answer:
a. 10^- 3
b. 10^- 7
c. 10^- 8
d. 10^- 9
e. 1 / 10^6
a.
1 / 10. 1 / 10. 1 / 10
= 1 / ( 10 x 10 x 10 )
= 1 / 1000
= 1 / 10^3
= 10^- 3
b.
1 / 10. 1 / 10. 1 / 10. 1 / 10. 1 / 10. 1 / 10. 1 / 10
= 1 / ( 10 x 10 x 10 x 10 x 10 x 10 x 10 )
= 1 / 10000000
= 1 / 10^7
= 10^- 7
c.
( 1 / 10. 1 / 10. 1 / 10. 1 / 10. )^2
= ( 1 / 1000 )^2
= ( 1 / 10^3 )^2
= ( 10^- 3 )^2
= 10^( - 3 x 2 )
= 10^- 6
d.
( 1 / 10. 1 / 10. 1 / 10 )^3
= ( 1 / 1000 )^3
= ( 1 / 10^3 )^3
= ( 10^- 3 )^3
= 10^( - 3 x 3 )
= 10^- 9
e.
( 10. 10. 10. )^- 2
= ( 10^3 )^- 2
= ( 1 / 10^3 )^2
= 1 / 10^( 3 x 2 )
= 1 / 10^6
