Question

How do you simplify `(4.6 times 10^-3)(3 times 10^-1)`?

Answer 1

See the entire simplification process below:

Explanation:

We can group like terms and rewrite this expression as:

`(4.6 xx 3)(10^-3 xx 10^-1)`

Now, use this rule for exponents and multiply:

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

`13.8 xx 10^(-3 + -1)`

`13.8 xx 10^-4` or `1.38 xx 10^-3`