Question

How do you write the answer in scientific notation given `(5.4times10^-5)(1.8times10^-1)`?

Answer 1

See the entire solution process below:

Explanation:

First, rewrite this expression as:

`(5.4 xx 1.8) xx (10^-5 xx 10^-1) = 9.72 xx (10^-5 xx 10^-1)`

Now, use this rule for exponents to multiply the 10s terms:

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

`9.72 xx (10^color(red)(-5) xx 10^color(blue)(-1)) = 9.72 xx 10^(color(red)(-5) + color(blue)(-1)) =`

`9.72 xx 10^-6`