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

1 Answer
Mar 24, 2017

Answer:

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#