How do you write the answer in scientific notation given #(5.8times10^-7)(8.1times10^12)#?

1 Answer
Feb 25, 2017

Answer:

#46.98 xx 10^5# or #4.698 xx 10^6#

Explanation:

Rewrite this expression as:

#(5.8 xx 8.1)(10^-7 xx 10^12)#

#46.98(10^-7 xx 10^12)#

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

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

#46.98 xx 10^(color(red)(-7) + color(blue)(12)) = 46.98 xx 10^5# or #4.698 xx 10^6#