How do you multiply #(5.8\times 10^ { - 18} ) ( 2.5\times 10^ { - 12} )#?

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Answer 1 · 2017-03-09T03:55:29

#(5.8xx10^(-18))(2.5xx10^(-12))=1.45xx10^(-29)#

As the numbers are in scientific notation, I presume answer is also desired in scientific notation

#(5.8xx10^(-18))(2.5xx10^(-12))#

= #ul(5.8xx2.5)xx10^(-18)xx10^(-12)#

= #14.50xx10^(-18)xx10^(-12)#

= #1.45xx10xx10^(-18)xx10^(-12)#

= #1.45xx10^1xx10^(-18)xx10^(-12)#

= #1.45xx10^((1+(-18)+(-12))#

= #1.45xx10^(-29)#