Simplify #2^30+2^30+2^30+2^30# ?
1 Answer
Apr 15, 2016
Explanation:
#2^30+2^30+2^30+2^30#
#=4*2^30 = 2^2*2^30 = 2^(2+30) = 2^32 = 4294967296#
Note that for positive integer exponents we have:
#a^m*a^n = overbrace(axxaxx...xxa)^"m times"xxoverbrace(axxaxx...xxa)^"n times"#
#=overbrace(axxaxx...xxa)^"m + n times" = a^(m+n)#
