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

1 Answer
Feb 1, 2017

Answer:

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#