How to simplify #12 times 18 times 10^23# in scientific notation?

1 Answer
KillerBunny
Nov 15, 2015

#2.16*10^25#

Explanation:

The scientific notation asks you to put numbers in the form

#a_0,a_1a_2a_3... * 10^k#

So, #12# becomes #1.2*10# and #18# becomes #1.8*10#.

The whole multiplication becomes

#1.2*10*1.8*10*10^23 = 1.2*1.8*10*10*10^23#

The numeric part is multiplied as usual: #1.2*1.8 = 2.16#
Powers of #10# are multiplied summing the exponents:
#10*10*10^23=10^{1+1+23}=10^25#.

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