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

Question

asked Apr 13, 2023 201k views

1 Answer

Melvin Sowah · Answer 1 · 2023-04-19T09:04:57+0000

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.