e.
b**(-15/4)
Simplify g*g/((g**(5/6)/g)/g*g)*g/(g/((g**21/g)/g)) assuming g is positive.
g**(127/6)
Simplify d**(-13)*d*d/((d*d**(-2/29))/d)*d assuming d is positive.
d**(-288/29)
Simplify (t/t**(-9))/(t/((((t/(t/t**(-27)))/t)/t)/t*t*t)) assuming t is positive.
t**(-19)
Simplify (p**(-7)*p*p**(-3))**(-1/16) assuming p is positive.
p**(9/16)
Simplify (c**(2/5))**(5/4)*(c*c/(c*(c**(-2/7)*c)/c))/c*c*c*c*(c**(-6)/c)/c*c assuming c is positive.
c**(-45/14)
Simplify ((m**(3/4)*m)/m)**(23/2) assuming m is positive.
m**(69/8)
Simplify ((m/(m*m**5*m*m*m))/m)/m*m*m*m**(-10/9) assuming m is positive.
m**(-82/9)
Simplify (h*(h/h**(-1/10))/h*h*h*h*((h/((h/h**(1/3))/h))/h)/h*h*h*h)**(-26/9) assuming h is positive.
h**(-2509/135)
Simplify (o**(-5)*o**(1/8))**(-14) assuming o is positive.
o**(273/4)
Simplify (q/q**(4/9))/((q*((q/q**(-2)*q)/q)/q*q)/q) assuming q is positive.
q**(-22/9)
Simplify u**0*u**(-1/2)*u**(1/7)*u**(1/3) assuming u is positive.
u**(-1/42)
Simplify (l/l**(-32))**42 assuming l is positive.
l**1386
Simplify h/((h*h**(-2)*h)/h)*h*h*h*h/h**(-1/4)*(h**(2/13)*h)/(h*((h**(-3/2)/h)/h)/h) assuming h is positive.
h**(567/52)
Simplify ((v**3*v)**(1/26))**17 assuming v is positive.
v**(34/13)
Simplify ((u/(u*u/(u/u**9))*u)**50)**17 assuming u is positive.
u**(-6800)
Simplify (n**(-8)*n)**50 assuming n is positive.
n**(-350)
Simplify ((p*((p/((p*p/p**(-19))/p*p))/p)/p)/p)**(-12) assuming p is positive.
p**264
Simplify (p**(2/43))**24 assuming p is positive.
p**(48/43)
Simplify n/n**45*n/(n/(n**29*n*n)*n) assuming n is positive.
n**(-14)
Simplify v*v/(v/v**(2/5))*v*v**(1/8)*(v*v*v**(-1)*v*v*v)**(-1/61) assuming v is positive.
v**(6001/2440)
Simplify g**(-16)/(g*g**(-8)) assuming g is positive.
g**(-9)
Simplify (b*(b/(b**(-2/9)/b))/b)/b**(-2)*(b**(1/4))**(-2/15) assuming b is positive.
b**(377/90)
Simplify (t/(((t**1/t*t*t)/t)/t))/(t*t**(-5))*(t**(-2/7))**(5/6) assuming t is positive.
t**(100/21)
Simplify ((h/(h/(h**9/h*h))*h)/h)**34 assuming h is positive.
h**306
Simplify (t/(t*t**(-1/3)/t)*t*(t/t**(-4))/t)/((t/(t/(t/(t/(t/t**0*t*t)))))/t**(-3)) assuming t is positive.
t**(1/3)
Simplify (f*f*f**(2/63))/f**(1/5) assuming f is positive.
f**(577/315)
Simplify (f**(11/3)/((f**(9/4)/f)/f*f))**(2/47) assuming f is positive.
f**(29/282)
Simplify (g/(g/(g**2*g))*g*(g*g/g**5*g)/g)/(g/(g/g**5*g*g)*g*g**(1/4)) assuming g is positive.
g**(-13/4)
Simplify j**(-6/7)*j/(j*j**(1/10)) assuming j is positive.
j**(-67/70)
Simplify (o**(-1)/o*o*o)**6/(o**(-1/9)/((o*o**(-1)*o*o)/o)) assuming o is positive.
o**(10/9)
Simplify (z*z**(-1/36)*z)**(-9) assuming z is positive.
z**(-71/4)
Simplify (v**(-2/5))**41/(v**0)**33 assuming v is positive.
v**(-82/5)
Simplify (a*a**(-1))**(-2/7)/((a**1*a)/a)**(-3/11) assuming a is positive.
a**(3/11)
Simplify (r/((r**(2/9)/r)/r)*(r**(4/5)*r)/r*r)/(((r/r**3)/r)/r*r*r/(r**4*r)) assuming r is positive.
r**(521/45)
Simplify (z**(-2/9)*z**(-2)*z)**21 assuming z is positive.
z**(-77/3)
Simplify (y*y/y**12)/y*y**(-5/3) assuming y is positive.
y**(-38/3)
Simplify (l**(-5)/l**(-4/5))/(l**(2/5)/l*l/(l**(-2/13)*l)) assuming l is positive.
l**(-244/65)
Simplify ((x*x**6/x)/x*x*x**(-3))**(12/19) assuming x is positive.
x**(36/19)
Simplify (((f/f**10)/f)/f**(-7))/(f**(2/7)*f/f**(-7)) assuming f is positive.
f**(-79/7)
Simplify r**(2/19)*r**9*r**(-2/19)*r**0 assuming r is positive.
r**9
Simplify m**(2/51)*m*m*m**(-3/13)/m*m assuming m is positive.
m**(1199/663)
Simplify ((j**(-1))**(-2/35))**(-22/3) assuming j is positive.
j**(-44/105)
Simplify w**(5/4)/(w/(w*w**20)) assuming w is positive.
w**(85/4)
Simplify (d/(d/(d*d*d**27*d)))/(d*d**(-26)) assuming d is positive.
d**55
Simplify (n**8*n/n**0)/((n*n**(-1/4))/n)**17 assuming n is positive.
n**(53/4)
Simplify t**(2/3)/(t*t**4)*(t**(-2/7))**(-41) assuming t is positive.
t**(155/21)
Simplify m/(m**31/m)*m*m/((m/m**(-9)*m)/m) assuming m is positive.
m**(-37)
Simplify b/(b/(b**(-9)/b))*b*b*b**(1/13)*b*b/(b**(-3)*b*b)*b*b**(-9) assuming b is positive.
b**(-168/13)
Simplify (v/v**(1/4))**36*v**(-6)/(v*v*v*v**(2/7)/v) assuming v is positive.
v**(131/7)
Simplify ((h*h**(-7/6)/h)/((h/(h/(h/((h*h**(-2)*h)/h)*h))*h)/h*h))/((h*h**(2/11))/h**1) assuming h is positive.
h**(-353/66)
Simplify b**24/b**18 assuming b is positive.
b**6
Simplify ((i*i/((i/(i/i**(3/2)))/i))/i)/(i/((i/(i*i**(-5)))/i))*(i*i*(i/i**(2/21))/i*i)/i**(-1/2) assuming i is positive.
i**(145/21)
Simplify ((r*r**2)**(-42))**42 assuming r is positive.
r**(-5292)
Simplify v**(-2/19)*v*v*v**(2/13)*v*v/(v*v*v/(v/v**0*v)*v*v)*v**(5/6) assuming v is positive.
v**(2789/1482)
Simplify ((z**(1/2))**(-44))**(-26) assuming z is positive.
z**572
Simplify (j*j*j**8)/j*j*j/(j*j*j**(-2/5)) assuming j is positive.
j**(47/5)
Simplify m**(-3)/(m/m**(1/2))*m**(-6)*m**(-2)/m assuming m is positive.
m**(-25/2)
Simplify t**(-6)/(t**0*t*t)*((t*t/(t**(-2/17)*t))/t)/t**(3/4) assuming t is positive.
t**(-587/68)
Simplify ((b**(1/5)/b)/(b/(b*b**(-3/7))))/(b**4/b**(-1/5)) assuming b is positive.
b**(-38/7)
Simplify (q**1)**(-26)/((q*q/q**4)/(q*q*q**(-1/8))) assuming q is positive.
q**(-177/8)
Simplify (h*h**4*h*h*h)/h**(-1/3)*(h*h/(h*h**(-1)))**(-39) assuming h is positive.
h**(-209/3)
Simplify x**(-1)*x*x*x/(x*x**(-1/16))*x assuming x is positive.
x**(33/16)
Simplify r**(-6)*r/r**(-5)*r**0/(r*r/(r/((r**5/r)/r))) assuming r is positive.
r**(-4)
Simplify p/(p**22/p*p)*p/p**23 assuming p is positive.
p**(-43)
Simplify (u**(-1))**(8/15)*((u/(u*u*u**(5/2)))/u*u)/u**(-3) assuming u is positive.
u**(-31/30)
Simplify y*y/((y/y**18)/y)*y**28 assuming y is positive.
y**48
Simplify (p*p/(p/(p**(2/5)/p)))**(-3/2)*((p**2*p*p)/p*p)**(-4/29) assuming p is positive.
p**(-167/145)
Simplify (((a**(-1)*a)/a)/(a*a/(a/a**(-6)*a)))/((a*a**(-2/7)/a)/a**(-6/5)) assuming a is positive.
a**(143/35)
Simplify (c**2)**(-1/17)/(c**(-8)/(c**(-8)*c)) assuming c is positive.
c**(15/17)
Simplify (m/(m/m**(-6/11)*m*m)*m**(-6))**43 assuming m is positive.
m**(-4042/11)
Simplify ((x**(-4/7)/x*x)**(-6/7))**(4/23) assuming x is positive.
x**(96/1127)
Simplify (o**(1/26)*o)/(o*o*o**(13/2)/o*o*o) assuming o is positive.
o**(-110/13)
Simplify ((a/(a/(a*a**(-2/7)*a)))**(-1/8))**(-1/12) assuming a is positive.
a**(1/56)
Simplify (w**(-4)/w)**(4/11) assuming w is positive.
w**(-20/11)
Simplify ((l*l**(4/3))/l*l)**(-8) assuming l is positive.
l**(-56/3)
Simplify (s*s/(s*s/(s*s/s**(-3/8))))/(s**(3/2)*s)*((s*s*s**4*s*s)/s)/(s/(s**1*s)*s) assuming s is positive.
s**(55/8)
Simplify (o**7/(o/(o/((o**(2/19)/o)/o))))/((o**(-3)*o)/(o/(o/o**1)*o*o)) assuming o is positive.
o**(264/19)
Simplify (r**(1/2))**(1/5)/((r*r**(-1/4)*r*r)/r**(-2)) assuming r is positive.
r**(-93/20)
Simplify (x**2*x)**(3/4)*((x/((x*x*((x/(x/(x/x**(-6)))*x)/x)/x)/x)*x)/x)/x*x*x/(x/(((x/(x/(x**(-2)*x)))/x)/x)) assuming x is positive.
x**(-27/4)
Simplify s**(-18)*s**(-19)/s assuming s is positive.
s**(-38)
Simplify ((j/(j/j**2))/j*j/(j*j*(j*j/(j*j*j*j**7*j))/j*j))/(j**(-4/5)*j*j*j*j*j**(2/5)) assuming j is positive.
j**(27/5)
Simplify d/(d*d*d*d**(-1/6))*d**3*(d/(d/d**(-8))*d)/(d/(d*d/((d*(d*d**(-4/7))/d)/d))) assuming d is positive.
d**(-179/42)
Simplify ((y**(-5)*y)/y)/y*y*y*y*y**(1/14)*y*y*y assuming y is positive.
y**(1/14)
Simplify ((r*r*r**(4/9))/((r/r**(7/4))/r))**(22/3) assuming r is positive.
r**(1661/54)
Simplify (z/(z/z**1))/z**39 assuming z is positive.
z**(-38)
Simplify c**(1/17)/(c/(c/(c*c**(3/28)*c*c))) assuming c is positive.
c**(-1451/476)
Simplify (a/(a**(-2/21)*a))**(-14) assuming a is positive.
a**(-4/3)
Simplify (a**(2/3))**(4/13)/(a**(-4/5)/(a/a**(2/9))) assuming a is positive.
a**(1043/585)
Simplify ((n/n**(-2/3))/n)**(-1/5) assuming n is positive.
n**(-2/15)
Simplify (i**(-3/5))**(-28) assuming i is positive.
i**(84/5)
Simplify ((g**0)**33)**(-29) assuming g is positive.
1
Simplify ((k**(-2)*k*k)/(k/(k**0/k)))/(((k*(k/k**(2/7))/k*k)/k)/(k*k*k**0)) assuming k is positive.
k**(-5/7)
Simplify (j/(j/(j**(-2/3)*j)*j))/(j*j/(j*(j*j/j**(-18)*j)/j*j)*j) assuming j is positive.
j**(55/3)
Simplify (v**13/(v*v**(5/8)/v))**15 assuming v is positive.
v**(1485/8)
Simplify o**(4/15)*(o**14/o*o*o)/o assuming o is positive.
o**(214/15)
Simplify (v*v*v/(v/v**1)*v*v)/(v*v*v/(v/(v/(v**(-1)*v)*v)))*(v*v/(v**(-1)*v))**(-1) assuming v is positive.
1/v
S