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

Question

1420 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-02-13T02:36:51

See the entire simplification process below:

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:

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

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

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