201k views
6 votes
3^-3 x 10^-3 what is the value?

User MikkoP
by
3.1k points

1 Answer

1 vote

Answer:


(1)/(27000) or
3.703 ×
10^(-5) \\

Explanation:


3^(-3) \\ is the same as
(1)/(3)^(3) or
(1)/(27).


10^(-3) is the same as
(1)/(10)^3 or
(1)/(1000).

So,
3^(-3) ×
10^(-3) is basically
(1)/(3)^(3)×
(1)/(10)^3 or
(1)/(27) ×
(1)/(1000), which both are simplified to
(1)/(27000) .


(1)/(27000) can also be written as
3.703 ×
10^(-5) \\ in scientific notation in decimal form.

User Melvin Sowah
by
3.4k points