How do you simplify #(9 times 10^2)(2 times 10^10)#?

2 Answers
Tony B
Jun 22, 2018

#1.8xx10^(13)#

Explanation:

Split it:

#9xx2color(white)("ddd")=color(white)("ddd")18color(white)("ddd") = color(white)("ddd")1.8xx10#

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#10^2xx10^10color(white)("ddd") = color(white)("ddd")10^(2+10)color(white)("ddd")=color(white)("ddd")10^(12)#

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Putting it all together

#1.8xx10xx10^12color(white)("d")=color(white)("d")1.8xx10^(13)#

Alan P.
Jun 22, 2018

#(9xx10^2)(2xx10^10)=color(blue)(18xx10^12)=color(green)(1.8xx10^13)#

Explanation:

#(9xx10^2)(2xx10^10)=9xx2xx10^2xx10^10#

#color(white)("XXXXXXXXXXX")=18xx10^12#

(or in standard scientific notation)
#color(white)("XXXXXXXXXXX")=1.8xx10^13#

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