Question

How do you do these?

Answer 1

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