How do you multiply #3.04510^5 6.853*10^6#?

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Answer 1 · 2015-04-03T20:18:54

Regroup the coefficients and the exponents together and multiply separately
#3.045 * 10^5 * 6.853 * 10^6#
#= (3.045 xx 6.853) * (10^5*10^6)#

#3.045 xx 6.853 = 20.86738#
solve this by hand or use a calculator/spreadsheet

#10^5*10^6 = 10^(11)#
since #b^p xx b^q = b^(p+q)#

So
#3.045 * 10^5 * 6.853 * 10^6#
#= 20.86738 * 10^11#

or (if normalized)
#= 2.086738 * 10^12#

How do you multiply #3.045*10^5 * 6.853*10^6#?