How do you simplify #((2.001times10^34)times(2.812times10^31))/(8.510times10^6)#?

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Answer 1 · 2016-12-17T13:07:25

#6.612 xx 10^58#

#((2.001 xx 10^34) xx (2.812 xx 10^31))/(8.510 xx 10^6#

Re-arrange the factors:

#((color(red)(2.001 xx 2.812) xx color(blue)(10^34 xx 10^31)))/(8.510 xx 10^6#

Multipliy the numbers and add the indices of like bases,

#(color(red)(5.626812) xx color(blue)(10^65))/(8.510 xx 10^6#

Divide the numbers and subtract the indices of like bases

#0.6612 xx 10^59#

#6.612 xx 10^58#