How to simplify #(2times10^-4) (3times10^2)# in scientific notation?

1 Answer
Jarni Renz
Nov 9, 2015

#(2 xx 10^-4)(3 xx 10^2)#

#=(2)(3) xx 10^-4. 10^2#

#=6 xx 10^-2#

Explanation:

To multiply #2# scientific notations, multiply the #2# initial numbers which are #2# and #3# and add the two exponents of the bases observing its signs (+/-).

The sign of the bigger number will be the exponent's sign to be used in the final answer.

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