How do you evaluate #\frac { 5} { 384} \times \frac { 20\cdot 100^ { 4} } { 873\cdot 2.1\cdot 10^ { 6} }#?

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Answer 1 · 2017-04-06T05:49:40

#5/384xx(20*100^4)/(873*2.1*10^6)=0.0142#

#5/384xx(20*100^4)/(873*2.1*10^6#

= #(5xx20)/(384xx873xx2.1)xx100^4/10^6#

= #(5xxcancel20^5)/(cancel384^96xx873xx2.1)xx((10)^2)^4/10^6#

= #25/(96xx873xx2.1)xx10^8/10^6#

= #25/(96xx873xx2.1)xx10^((8-6))#

= #25/175996.8xx100#

= #2500/175996.8#

= #0.0142#