How do you simplify #\frac { 8\times 10^ { 24} } { 2\times 10^ { 18} }#?

1 Answer
Mar 13, 2017

#4xx10^6#

Explanation:

Here we will use the rule of indices that states: #a^m/a^n = a^(m-n)#
[This is really an extension of the rule: #a^mxxa^n = a^(m+n)#
for #-n# replacing #n#]

#(8xx10^24)/(2xx10^18) = 4xx10^(24-18)#

#=4xx10^6#