Question

How do you simplify `(2times10^-6)(6times10^7)`?

Answer 1

See the entire simplification process below:

Explanation:

First, we can rewrite this expression as:

`(2 xx 6)(10^-6 xx 10^7) = 12(10^-6 xx 10^7)`

We can now use this rule for exponents to combine the 10s terms:

`(x^color(red)(a))^color(blue)(b) = x^(color(red)(a) xx color(blue)(b))`

`12(10^color(red)(-6) xx 10^color(blue)(7)) = 12 xx 10^(color(red)(-6)+color(blue)(7)) = 12 xx 10^1 = 12 xx 10 = 120`