Question

Simplify `2^30+2^30+2^30+2^30` ?

Answer 1

`2^32 = 4294967296`

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)`