How do you multiply #(4.7 x 10^-8) (7.6 x 10^3)#?

1 Answer
Apr 12, 2015

You can first multiply #4.7xx7.6=35.72# and then deal with the powers of ten remembering that #a^m*a^m=a^(m+n)#;
#10^(-8)*10^3=10^(-8+3)=10^(-5)#
So you get:
#35.72xx10^(-5)# rearranged to have:
#3.572xx10^(-4)# by moving the decimal point to the left and changing, as a consequence, the exponent of #10# of 1 unit.