How do you multiply #(5.3\times 10^ { - 5} ) ( 4\times 10^ { 2} )#?

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Answer 1 · 2017-07-29T17:35:56

#(5.3xx10^(-5))(4xx10^2)=2.12xx10^(-2)#

#(5.3xx10^(-5))(4xx10^2)#

= #5.3xx10^(-5)xx4xx10^2#

= #5.3xx4xx10^(-5)xx10^2#

= #21.2xx10^(-5+2)#

= #2.12xx10xx10^(-3)#

= #2.12xx10^(1-3)#

= #2.12xx10^(-2)#

Note: I have converted #21.2# to #2.12xx10# as I believe answer too is desired in scientific notation.