How do you multiply #(5.8\times 10^ { - 6} ) ( 3\times 10^ { - 8} )#?

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Answer 1 · 2017-06-22T05:56:35

#(5.8xx10^(-6))(3xx10^(-8))=1.74xx10^(-13)#

We are multipying two numbers given in scientific notation and it is expected to give result too in scientific notation.

So #(5.8xx10^(-6))(3xx10^(-8))#

= #(5.8xx3)xx(10^(-6)xx10^(-8))#

= #17.4xx10^(-6+(-8))#

= #(1.74xx10)xx10^(-14)#

= #1.74xx10^(1-14)#

= #1.74xx10^(-13)#