Question

3^-3 x 10^-3 what is the value?

Answer 1

`(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.