Compute the product of base and exponent.

exp.c

#include <stdio.h>

#define INF 0x7F800000

int inf = INF;
long double factorial(const int temp) {
  if (temp == 0)
    return 1.0;
  long double fact = 1;
  for (int i = 1; i <= temp; i++) {
    fact *= i;
  }
  return fact;
}
long double raise_int(const long double base, const int exp) {
  long double ans = 0.0;
  if (exp == 0)
    return 1.0;
  else if (exp < 0)
    return 1.0 / raise_int(base, -exp);
  ans = base;
  for (int i = 1; i < exp; i++) {
    ans *= base;
  }
  return ans;
}
long double e_raise(const long double temp) {
  long double ans = 0.0;
  long double ctr = 0.0;
  for (int i = 0; i < 1000; i++) {
    ctr = raise_int(temp, i) / factorial(i);
    if (ctr != ctr || ctr == (long double) *(float *)&inf) break;
    ans += ctr;
  }
  return ans;
}
long double mylog(const long double temp) {
  long double ret = 0.0;
  long double ctr = 0.0;
  for (int i = 1; i < 1000; i++) {
    ctr = raise_int(temp, i) * raise_int(-1.0, i - 1.0) / i;
    if (ctr != ctr) break;
    ret += ctr;
  }
  return ret;
}
int main() {
  long double base = 0;
  long double exp = 0;
  scanf("%Lf %Lf", &base, &exp);
  long double ans = e_raise(exp * (-mylog((1.0 / base) - 1.0)));
  printf("%Lf\n\n", ans);
  printf("%Le\n", ans);
}