5)
Simplify (((x**37*((x/x**36)/x)/x)**18)**(2/25))**(-41) assuming x is positive.
1
Simplify ((((j*j**(-1/37))/j)/j**(-12))/(j/(j/(j/(j/(j/(j/j**23)))*j))*j*j**(10/13)*j))**(-40) assuming j is positive.
j**(284680/481)
Simplify (o**9*o*(o*o**8*o*o*o*o*o)/o*((o*((o*o*o**(2/19))/o)/o*o)/o)/(o/o**(-2/17)))/((o**(-9)*o)/(o**(1/2)*o))**(-33) assuming o is positive.
o**(-187671/646)
Simplify ((v**(-3/5)/v**25)/(v**23*v/(v/(v*v/(v**(2/5)*v)*v*v)*v)))**(-4/15) assuming v is positive.
v**(1004/75)
Simplify (i/(i/i**18)*i/(i*i**3)*(i/i**(-4/9))**47)**(1/8) assuming i is positive.
i**(373/36)
Simplify (a*a**(2/3)/a*a)**32/(a/(a*a**(2/5)))**(-6)*(a*a*a*a/a**(2/37)*a/((a*a**(4/9))/a)*a)**(-35) assuming a is positive.
a**(-235796/1665)
Simplify (((y*(y/(y*((y*y**(-2/27)*y)/y)/y))/y)/y**22)/(y**(-24)/y**(-26)))**(-5/13) assuming y is positive.
y**(3230/351)
Simplify ((((i*i*i**2/i)**22)**(1/2))**(-20/9))**46 assuming i is positive.
i**(-10120/3)
Simplify ((j*j*j/(j*(j*j**(-6/5))/j*j))/(j/j**(-10)))/(j**(-5))**1 assuming j is positive.
j**(-19/5)
Simplify (s/(s/(s*s/(s/((s*s**(2/3))/s)*s*s*s)*s)))**(-49)*(s/((s/s**(-2/7))/s))**(-12)*((s*s/(s/s**0))**49)**(1/6) assuming s is positive.
s**(223/14)
Simplify ((j**(-9))**(1/32)*(j/(j/(j**(-14)*j)))/j*j**(-13))**(6/23) assuming j is positive.
j**(-2619/368)
Simplify w**(-4/5)*w**(-1/2)*w*(w*w/(w*(w*w**(3/7)*w)/w))/w*(w/(w*w**(1/4)))/w*(w**(1/2)/w*w*w*w**5)**(-36) assuming w is positive.
w**(-33177/140)
Simplify ((((d**(-4/3)/d)/(d/d**(-6)))/(d/(d/d**(-1))*d)**(2/57))**(-17/5))**(-3) assuming d is positive.
d**(-476/5)
Simplify ((j*j/(j*(j/(j/((j/((j*j**(-2))/j))/j)))/j)*j*j)**(-13/5))**(-47)/((j**4*j*j*j)/(j/j**(-1))*(j**2)**(28/3)) assuming j is positive.
j**(3311/15)
Simplify (b**(-1/2)/b**(-1/6))**(3/2)/((b/(b**0/b))**30*b*b**(-1/5)*b/(b*b**(-3/2))) assuming b is positive.
b**(-314/5)
Simplify (b**4*b*b/b**(-4)*(b*(b/b**(-1/3))/b)**(1/7))/((b*b**(1/9)*(b**(1/4)/b)/b)/(b*b*b*b**(-4)*b**6)) assuming b is positive.
b**(3989/252)
Simplify (j**(-1/3)*j*j*j**7*(j*j/(j*(j*j/(j/j**(-1)))/j))**(-47))/((j**(2/5))**(1/5))**15 assuming j is positive.
j**(-1298/15)
Simplify (((h/(h/h**(-1)))/h)/h**6)**(-31)/(h/((h*h**8*h)/h)*h**(-7))**(-14/5) assuming h is positive.
h**206
Simplify ((s**(-4)*s)/s**(-2/11))/(s**(-22)/s**(-23)) assuming s is positive.
s**(-42/11)
Simplify (w*w**7)/w*((w/w**7)/w)/w*(w**(2/15)/w)/w**(3/7)*((w*w**(2/5))**(20/3))**45 assuming w is positive.
w**(43859/105)
Simplify ((v**(1/3)/v)**(-4/17)/(((v**(-10)*v)/v)/(v*v*v*v**(-2/3)*v)))**(-1/38) assuming v is positive.
v**(-344/969)
Simplify (f**3/((f*f**3*f*f)/f))**(26/5)*((f*f*f/(f/(f/f**(-1/3)))*f)**17)**(-15) assuming f is positive.
f**(-5577/5)
Simplify (j**(2/9)/j*j**(-7)*(j**7*j)/(j/j**(2/5)))/((((j*j*j**0*j)/j)/j)**5/(((j/((j**(2/11)/j*j*j*j)/j))/j)/(((j**(-2/11)/j)/j)/j))) assuming j is positive.
j**(-152/45)
Simplify (u**(-4)*u**5*u*u)/(u**4*u*u**3)*(u**1/u)/(u**6*u)*u**(3/4)/u**(-2/17) assuming u is positive.
u**(-757/68)
Simplify (v*v**(-1))**19/(v**(-1/4)/v)**(-42)*v*v/(v*(v*v**(-5/4))/v*v)*v*v**(2/3)*v*v*(v**1)**(2/31) assuming v is positive.
v**(-17677/372)
Simplify ((o*o**(2/3))**(-1/23)/(o**4*o)**(3/34))**(6/19) assuming o is positive.
o**(-1205/7429)
Simplify ((n**(-4/13)*(n*n**3*n*n*n)/n)**(-1/19))**(-3/11) assuming n is positive.
n**(222/2717)
Simplify (c**(-2/43))**9*(c**(-1/55))**(-24) assuming c is positive.
c**(42/2365)
Simplify (((g/g**(1/3))/g)/(g/g**(-2/3)*g))**(4/29)*(((g**3*g)/g)/g**(3/5))/(g**(-5)*g**2) assuming g is positive.
g**(723/145)
Simplify (d/d**(-4/3)*d/d**1)/(d**(-6)/(d*d/(d*d**(-3/7))))*((d**7/d)/d**(2/7))**(1/8) assuming d is positive.
d**(220/21)
Simplify ((o*((o**(-4)*o)/o)/o)/o*o/(o/o**(-13/3))*(o**(2/3))**(-19/5))**(-6) assuming o is positive.
o**(356/5)
Simplify (a**7*a/a**(-11))**(-31/4)*((a/(a*a**2)*a)**24)**(-10) assuming a is positive.
a**(371/4)
Simplify (z/z**3*z/(z/z**(-3)))**(5/9)/(((z*z/z**1)/z)**29*(z/z**(3/4))/(z*z*z**(-3))) assuming z is positive.
z**(-145/36)
Simplify ((h**(-11)/(h/((h/h**(1/18))/h)))/(h/(h*h/((h/h**(-2))/h))*h**(4/19)))**33 assuming h is positive.
h**(-49907/114)
Simplify (((b/(b*b*b**(-2))*b*b)/b)/b*b*b**(-4))**(1/7)*((b**0*b)/(((b**(-5/6)/b)/b)/b))**(1/41) assuming b is positive.
b**(-289/1722)
Simplify (s**(1/35)/(s**28*s)*((s**(-23)/s)/s)/(s/(s**(10/3)/s)))**(-4) assuming s is positive.
s**(22108/105)
Simplify ((f/(f*f**(-1/4))*f)**(-5/4))**(-2/15)/((f**(3/4)*f/f**(-3/5))/(f**2*f*f**7/f)) assuming f is positive.
f**(823/120)
Simplify (c*c**7*c*c/((c*c*(c*c/((c**(-4/5)/c)/c*c*c))/c*c)/c)*c)/(((c*c/(c/c**(-6)))/c*c)/(c**2*c))*(c**4/(c/(c**(-5)*c)))**(-4/13) assuming c is positive.
c**(1008/65)
Simplify ((h**(3/10)/h)/h*h**(2/11))/((h**1/h)/h)**(-45)*(h**10/(h/(h/(h/h**(-1)))))**(-1/25) assuming h is positive.
h**(-25761/550)
Simplify (i*i*i**(-3/7)*i/((i**2/i)/i))**(-1/47)*((i**(-1/3))**(-10))**(1/11) assuming i is positive.
i**(2696/10857)
Simplify ((i*i**(-5))**23*(i**12*i)/(i*i**(-1/2)))**19 assuming i is positive.
i**(-3021/2)
Simplify (((w**1)**(5/4)*w*w/(w/w**(-1/3))*w**(-5))**33)**15 assuming w is positive.
w**(-6105/4)
Simplify ((f*f**36*f**(-21)*f)/(f**31)**6)**(-2/35) assuming f is positive.
f**(338/35)
Simplify (i**(-1/18)/(i/((i**(-11)/i)/i)))**(-39)/((i**(-2/7)/i**(1/4))/((i/(i*i**(1/5)))/(i/((i**(1/13)*i)/i)))) assuming i is positive.
i**(2989783/5460)
Simplify ((b*(b/(b*(b**(-15)/b)/b))/b*b)**(-7)*b**25/(b/(b*b**(-22)*b)))**39 assuming b is positive.
b**(-4758)
Simplify (j**(3/7)/(j/j**(-6))*j**(5/4)*j**(-3)/j)/((j/(j**(-5/2)/j*j))/(((j*(j*j**(-3))/j)/j)/j))**(-23) assuming j is positive.
j**(4569/28)
Simplify (r/(r/(r*r**(1/4))))**(-18)/(r/((r*r**(1/3))/r)*r*r**(-2/9)*r)*((r*r*r*r**(2/9))/r*r*r/(r/r**4*r))/((r/r**(1/3))/r**(-8)) assuming r is positive.
r**(-493/18)
Simplify ((x**(-4)/x**(-2/7))/(x*x**(-6)/x*x*(((x**(-3)/x*x)/x)/x)/x))/(x**1/x**(-1/2))**39 assuming x is positive.
x**(-717/14)
Simplify ((((n**(2/3)*n)/n)/n**0)/(n*n*n/n**(1/4)*n**(-1/3)*n))/(n/((n/(n*n/n**(-7)))/n)*n*n**(1/4)*(n**(1/2))**(-8/3)) assuming n is positive.
n**(-38/3)
Simplify ((o/(o*o**(-1)))/(o*o/(o**2/o))*(o**3/o)/o*o**2)/(o*((o**(1/2)*o)/o)/o*o*o**(-6))**(-34) assuming o is positive.
o**(-150)
Simplify (((c*c/c**44*c*c)/c**(1/22))/((c/(c/(c/(c*c**(-6)))))/c*c)**(-24))**(1/3) assuming c is positive.
c**(2287/66)
Simplify ((f*f**(2/11))/(f**(-1/4)/f)*(f*f*f**(2/7)/f*f)/(f**(2/13)/f))/(f/(f*f*f*f*f*f/(f/f**(-1/4)))*f/f**(-3)*(f*f**(-1/6))/(f*f**0)) assuming f is positive.
f**(32915/6006)
Simplify ((u/(u*u/((u/(u/u**(-12)))/u)*u*u))/(u**(3/7)/u))**(-14)*((u*u**(-7)*u)/u**2)**(-3/35) assuming u is positive.
u**(1083/5)
Simplify (d**(-2)*d*d*d**(-5)*d*d/(d/d**(-1))*d**(-1)/d*d)/((d**(2/5)/(((d*(d*d/d**(3/2))/d*d)/d)/d))/(d*d*d*d**(3/7)*d*d*d*d/d**(3/8))) assuming d is positive.
d**(43/280)
Simplify ((h**(1/2)*h)**46/((h*h**(-6/7))/h**(-3)))/((h**(2/3))**(-45))**(-3/11) assuming h is positive.
h**(4441/77)
Simplify ((((d/(d/(d/(d*d**(2/11))))*d)/d)/d)/d*d*d**(-1/2))**38*((d/d**(1/4))**(-17))**(-35) assuming d is positive.
d**(16823/44)
Simplify z**(-1/7)/z*z**4*z*z**(3/8)/(z/z**(-27/5)*z*z) assuming z is positive.
z**(-1167/280)
Simplify ((w**(1/10)*w*w)/w*w**(1/2)*(w*(w/(w/(w**1*w)))/w)/w**(-12))**(-2) assuming w is positive.
w**(-156/5)
Simplify (n**0)**(2/11)*n/(n/n**2)*n*n**(1/4)/n*(n/(((n/(n/(n**(1/3)/n*n)))/n)/n*n))**(2/101)/((n*n**(-2))/n**(-1/5)) assuming n is positive.
n**(18683/6060)
Simplify (r**(-2)/(r**(-1)/r))**(-6/25)/((r**(-2/3))**(19/5)/(r**(-2)*r*r**(-3/7))) assuming r is positive.
r**(116/105)
Simplify (h*h**(-8/3)*h**(2/33)*(h**(-3/10))**(1/32))**27 assuming h is positive.
h**(-153531/3520)
Simplify ((o/(o**1*o*o)*o)**(-2/123))**(-49)/((o/(o/o**5)*o*o/o**5)/(o**(-1))**(-11)) assuming o is positive.
o**(1009/123)
Simplify (l**(-1)*l)**(-29)*(l/l**(1/4))**(-3)*(l**(5/6)/(l*l**3/l*l))/((l/(l*l*l/l**1))/(l/(((l/l**1)/l)/l)*l*l)) assuming l is positive.
l**(7/12)
Simplify ((l*l/l**1)/l*l/((l**(1/3)/l)/l))**32*(l**5/(l**2*l))/(l*l*l**1*l*l*l**6/l) assuming l is positive.
l**(232/3)
Simplify ((y*y/(y**(5/6)*y)*y**(1/4))/(y*y**(-5/6)*y**(2/13)))/(y*y**(-4)*y**(1/13)*(y/y**(-1/5))**(-48)) assuming y is positive.
y**(15761/260)
Simplify ((h**(-2/33)/h)**37*h**(-9)/(h/h**(2/2