# sum of the digits of 5^2010*8^673

+1 vote
asked Jul 25, 2014 in TCS

${5^{2010}} \times {8^{673}} = {5^{2010}} \times {({2^3})^{673}} = {5^{2010}} \times {2^{2019}}$
$\Rightarrow {(5 \times 2)^{2010}} \times {2^9} = {10^{2010}} \times 512 = 512\underbrace {00........0}_\text{2010 zeroes}$
$\Rightarrow$ Sum of the digits = 5 + 1 + 2 = 8