How to simplify #(9 times10^ -31) xx (3times10 ^7)^2 # in scientific notation?

Question

1974 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-14T09:05:48

#8.1xx10^-16#

#(9xx10^-31)xx(3xx10^7)2#

#9xx10^-31*9xx10^14#

#(9xx9)*(10^-31xx10^14)#

#(81)*(10^(-31+14))#

#81xx10^-17#

note that in scientific notation, numbers are between #1 and 10# so #81# is not included

so move the decimal point to the left
when you move it to the left you have to multiply by 10

#81 = 8.1 xx 10#

simplify #8.1 xx 10 xx 10^-17#

#color(red)(10^-17xx10=10^-16)#

#8.1xx10^-16#