Thank you for the opportunity to help you with your question!
Ok so :
(2 x 10^4) x (3 x 10^2)= 6 x 10^6
Now, how did I do this? All you do is you first multiple the numbers that dont have the raise to power thing (ex:10^3). Then you multiple those that do. Now 10^4 x 10^2 =10^6. Because they have same base (10) , you write the base again and just add the exponents.(4+2 in this case). SO
1)mutiply the numbers without exponents
2)Multiple numbers with exponenets
This consists of both ways youw ere taught; for example:
5^2 x 5^3=5^5
because when bases are same you leave as is, and just add exponenets.
Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 13th, 2015
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