How do you evaluate #(1.22\times 10^ { 6} ) ( 1.5\times 10^ { 3} )#?

Question

648 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-10-03T19:36:38

See a solution process below:

First, rewrite the expression as:

#(1.22 xx 1.5) xx (10^6 xx 10^3) =>#

#1.83 xx (10^6 xx 10^3)#

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))#

#1.83 xx (10^color(red)(6) xx 10^color(blue)(3)) =>#

#1.83 xx 10^(color(red)(6)+color(blue)(3)) =>#

#1.83 xx 10^9#