$3\_-/$vozkspace$/$controlflow$-$programs

$ python$3$

root.py $321$e$-15$

$1\mathrm{.}2599210498948732$

$ python$3$ root. py $3271$e$-15$

$3\mathrm{.}0$

Problem $9.($Sum of Powers$)$ Write a program called sum$\_$of$\_$powers.py that accepts $n($int$)$ and $k($int$)$ as command$-$line

arguments, and writes to standard output the sum $1^k+2^k+$cdots$+n^k.$

$--/$workspace$/$controlflou$-$programs

$ python$3$ sum$\_$of$-$powers.py $151$

$120$

$8$ python$3$ sum$\_$of$\_$powers.py $103$

$3025$

Problem $7.($Greatest Common Divisor$)$ Write a program called

gcd$.$py that accepts $p($int$)$ and $q($int$)$ as command$-$line

arguments, and writes to standard output the greatest common divisor $($GCD$)$ of $p$ and $q.$

$3\_*/$workspace$/$controlflou$-$programs

$ python$3$

gcd$.$py $4081440$

$24$

$ python$3$ gcd:py $2122$

$1$

Problem $8.($Root Finding$)$ Write a program called

root.py $($a variant of the

sqrt$.$py program we dicussed in class$)$ that accepts

$k($int$),c($float$),$ and epsilon $($float$)$ as command$-$line arguments, and writes to standard output the $k$ th root of $c,$ up to

epsilon decimal places.

$3--/$workspace$/$controlf$1$ow$-$programs

$ python$3$

root.py $321$e$-15$

$1\mathrm{.}2599210498948732$

$$.$python$3$

root.py $3271$e$-15$

Problem $9.($Sum of Powers$)$ Write a program called sum$\_$of$\_$powers.py that accepts $n($int$)$ and $k($int$)$ as command$-$line

arguments, and writes to standard output the sum $1^k+2^k+$cdots$+n^k.$

$-/$workspace$/$controlf$1$oy$-$programs

$ python$3$ sum$\_$of$\_$powers, py $151$

$120$

$ python$3$ sum$\_$of$\_$powers.py $103$