Suppose a computer takes $1$ nanosecond $(=109$ second$)$ to execute each operation. Approximately how long will it take the computer to execute the following numbers of operations? Convert your answers into seconds, minutes, hours, days, weeks, or years, as appropriate. For example, instead of $250$ nanoseconds, write $13$ days.

$($a$)lo{g}_2(180)($Round your answer, in seconds, to ten decimal places.$)$

sec

$($b$)180($Round your answer, in seconds, to eight decimal places.$)$

sec

$($c$)180lo{g}_2(180)($Round your answer, in seconds, to eight decimal places.$)$ sec

$($d$){180}^2($Round your answer, in seconds, to eight decimal places.$)$

$sec$

$($e$){180}^8($Round your answer, in years, to two decimal places.$)$

yr

$($f$)2^{180}($Enter your answer, in years, using scientific notation. Round your coefficient

$10,yr$