ng q is positive.
q**(22067/1560)
Simplify (n**12/n**(1/10))**24/((n/(n**(2/3)*n))**(-1/84)*(n*n/n**(-6)*n*n)/(n/(n**(-5)/n)*n)) assuming n is positive.
n**(178663/630)
Simplify v*v**(-27)*v**(-24/5)*v*(v/(((v*(v/(v*v/(v*v**(-4)*v))*v)/v)/v)/v))/v**(-3) assuming v is positive.
v**(-109/5)
Simplify (f*f/(f**9/f))/f**(1/4)*(f*f**(-2/7))**(-2/21)*f**(6/5)/(f**(-3/2)*f)*f**9/(f/(f*f*f*f**(-1/3)*f)) assuming f is positive.
f**(20723/2940)
Simplify ((i**1*i*i)**(2/3)*(i*i*i/(i*i**(-3)))/(i**(1/3)*i))/((((i*i*i**(-5/2)*i*i)/i)/i*i*i*i/(i*i**(-1)*i)*i)/(i**0)**(-9)) assuming i is positive.
i**(19/6)
Simplify ((z/z**(-2))/z**(-3)*z*z**(-6/7)*z*(z**0*z)/z)/((z/z**(6/11)*z*(z/z**(-1/4))/z)/(z**(-2)*z*z/(z**5*z))) assuming z is positive.
z**(-173/308)
Simplify (z**(2/21)*z**(-8))**(-13)*((z**(-2/9))**(-3/5))**(-40) assuming z is positive.
z**(682/7)
Simplify ((((h/(h**(1/5)/h))/(h/((h**(-2)*h)/h)))/(h/h**(3/5)*h**(1/2)/h*h*h))**(2/47))**47 assuming h is positive.
h**(-31/5)
Simplify u**(6/23)*(u*u/u**(-2/27))/u*u*(u**(-18)*u)**(-11/4) assuming u is positive.
u**(121927/2484)
Simplify ((i*i**(3/7))**(-23))**(-28)/((i**3/i)/i**(-5)*i*i*i*i*i*(i/(i*i*i**(-1/6)*i))/i*i**1) assuming i is positive.
i**(5459/6)
Simplify (((q**(-11)*(q**(-2)*q)/q)**(-3/17))**(-2/3))**32 assuming q is positive.
q**(-832/17)
Simplify (k**8*k*k**(7/4)*(k*k/(k**(-5/2)*k))/k**(-1/2))/(((k/(k*k**13/k*k))/k)/(k*k**(-4)*k))**(-39) assuming k is positive.
k**(-1813/4)
Simplify ((u/(u/(u*u**8)))/((u/(u*u**(-10)))/u))**39*(u**4*u**(2/13))/(u/u**0*u**(-7)) assuming u is positive.
u**(132/13)
Simplify ((i/(i/(i**8*i*i)))/i*i**(2/3)*(i**(-7)*i)**(-50))**(5/13) assuming i is positive.
i**(4645/39)
Simplify (d*d*d**11*d**4)**(-30)*(d/(d/((d**3*d)/d))*d*d/((d/(d*d**(5/4)*d*d*d*d))/d)*d*d)**(2/97) assuming d is positive.
d**(-98887/194)
Simplify ((v**(2/3)/v*v)**13)**(-29)*((v/(v/(v/(v**5/v))))/(v*v**(2/3)/v))/((v*v/v**(-1/2))/(v*v**(2/7))) assuming v is positive.
v**(-3587/14)
Simplify ((z*(((z*z**1/z)/z)/z)/z*z)/((z**(-8)*z*z)/z))/(z**(-1/3)/(z**(-7)*z))*((z*z**(-1/6))/z**(-7))/((z*z**9/z)/z**(5/2)) assuming z is positive.
z**(8/3)
Simplify (r**(4/3)*r**2)/(r**7/(r*r**(-4/7)/r))*r**(1/4)/r**(-1/12)*(r**(1/4))**29 assuming r is positive.
r**(281/84)
Simplify (((i**8/i)/i*i)/(i**(2/33)*i)*i/(i*i**(-6)/i)*i**(2/7))**19 assuming i is positive.
i**(58045/231)
Simplify ((c/c**(-18))/c**(2/35)*c/(c/(c**(-21)*c)*c)*c**(-2/3)*c)**32 assuming c is positive.
c**(-5792/105)
Simplify (((z*z*z**8)/z)/(z**4*z))**(2/83)/(z**4/z**(-2/3))**(-23) assuming z is positive.
z**(26750/249)
Simplify (((o*o*o**(-6)*o*o*o**(-1))/(o**(-8)*o*o**(-12)))**(2/85))**(-19/3) assuming o is positive.
o**(-608/255)
Simplify (v/(v*v/((v**(5/12)/v*v*v*v*v*v)/v*v))*v*v**(-24)*(v**(-3/4))**(-8))**(-2/11) assuming v is positive.
v**(163/66)
Simplify (((a**2*a)/(a*a/(a/(a*a*a/(a/(a**(-1/10)*a)))))*a*a**3*a*a**(2/11)*a)**1)**34 assuming a is positive.
a**(9877/55)
Simplify (n**(-23)/(n/(n/(n**32/n))))/(n**(-27)/n*n**(12/5)) assuming n is positive.
n**(-142/5)
Simplify (((v*v/v**(-32/5)*v)/v**(2/83))**(-18))**42 assuming v is positive.
v**(-2941596/415)
Simplify ((o**(5/7)*(o/(o*o/o**(-5)))/o*o/o**(12/11)*o**(-8))**(-20/9))**31 assuming o is positive.
o**(76260/77)
Simplify ((q**(2/5))**(1/24))**(-25)*((q/(q*q*q*q**(2/3)/q))**(-2/67))**(1/50) assuming q is positive.
q**(-557/1340)
Simplify (((d**1)**(3/19)/((d*d**(1/7)/d)/(d*d**0/d)))**31)**(-32) assuming d is positive.
d**(-1984/133)
Simplify ((q*q/q**(-2/3))/q)**(2/71)*q**(3/7)/q*(q*q/q**(1/6))/q*q*q*((q*q*(q/(q/(q**(-1)*q)*q))/q)/q)**(39/2)*(q*q**(-2/5))**(4/9) assuming q is positive.
q**(-126172/7455)
Simplify (g**(4/17)/((g**19*g)/g)*g/(g*g**(-6/13))*g**(-15/8))**(1/27) assuming g is positive.
g**(-35675/47736)
Simplify ((t*t/(t*t**(-1/3)))**(4/5)*((t*t**(-1))/t)/((t*t**(1/8))/t))/(t**(-2/17)/(t**4/t)*t*t/(t**2/t)*t/(t/t**(-2/9))) assuming t is positive.
t**(13963/6120)
Simplify w**(3/10)/((w*w*(w/(w/(w*w**(-27)/w)))/w)/w)*(w**(-6/11)/w)/(w/((w*w**(-1/9)/w*w)/w)) assuming w is positive.
w**(24397/990)
Simplify (o**(-3)/((o*o**(-3/10)*o)/o*o))**(1/17)*(o**3/((o**(-6)*o)/o))**(-16/9) assuming o is positive.
o**(-2767/170)
Simplify ((k**(-3/7)*k)/((k*k**4/k*k)/k)*k*k/(k/k**(-3)*k)*k*k*k/((k**(1/2)/k)/k)*k)/((k*((k*(k*k**0*k)/k)/k)/k)**10)**(-2/15) assuming k is positive.
k**(17/42)
Simplify ((q/(q/q**0))**27)**(-4/17)*q**(-2/25)*(q/((q/((q/(q/((q*q**(1/3))/q)))/q)*q*q)/q)*q*q)/q*q*q**(-1/9)*q**(-6)*q assuming q is positive.
q**(-1093/225)
Simplify (((a/a**4*a)/a)/a*a*a/(a**(-4/9)/a))/((a*(a/a**4*a)/a)/a**(-6))*a**3*a/(a/a**(-7))*a*a**(-2/9)/a**(2/9) assuming a is positive.
a**(-8)
Simplify s**(2/19)/((s*s/(s*s**(-2)))/s)*s**(2/3)/(s*s**(4/3)/s)*(s**(2/9)*s**(-1))/(s/s**(1/4))**(-27) assuming s is positive.
s**(11567/684)
Simplify x/x**(-3/20)*x**(-5/14)*x**(6/17)*x/(x/(x/x**(-10))*x) assuming x is positive.
x**(26527/2380)
Simplify (((q/(q/(q*q/(q/(q*q/q**6))))*q)/q**(-1/11))/(q*q/(q**(-5)*q)*q**(-4)/q))/((q**1)**(37/4)*(q/q**(-2/5))**(-2/29)) assuming q is positive.
q**(-76959/6380)
Simplify (r**(-1/5))**(-2/77)*(r/r**(-4/3)*r)/(r/(r**(1/8)/r)*r*r)*r**(1/4)/r**4*r**7*r**(-2/9) assuming r is positive.
r**(69059/27720)
Simplify (o/o**(-3)*o*o**(1/3)/o*(o/(o**(-7)/o))/o**5)/((o*(((o*o*o**(-1/4)*o)/o*o)/o)/o)**(-11/7)*o/o**(-1/6)*o*o**4*o) assuming o is positive.
o**(47/12)
Simplify (u**(-1)*u**(-6)*u)**(-30/11)*((((u/(u*u**(-7)*u*u*u*u))/u*u)/u)/u**(-1/14))**(-2) assuming u is positive.
u**(941/77)
Simplify ((w*w**3)/w**(-2))**(-2/89)*(w**3*w*w*w**(3/8))/(w/(w*w**(-2/5)))**(2/19) assuming w is positive.
w**(351597/67640)
Simplify ((w*w/(w/(w*w/w**(1/4))))**(1/4)*w**(-7)*(w*w**(2/3)*w)/w)/((w**(2/7)/(w**(2/11)/w*w*w))/(w*w**(-2/3)/w*w*w)**11) assuming w is positive.
w**(40349/3696)
Simplify ((i**0)**32*i**(-2/19)*i*i**(1/9)*i)/((i/(i*i*i**(-2/5)*i*i*i))**29*i**(3/7)*i**8) assuming i is positive.
i**(586394/5985)
Simplify ((h/h**(-1/3))**(-29/3))**(2/65)*(h**(5/4)*h**(1/5))**(-26) assuming h is positive.
h**(-44573/1170)
Simplify (a/(a*a**1*a)*(a*((a**1*a)/a*a)/a*a)/a*a**(1/5)*a/((a/a**5)/a))/(a**(-1/2)*a**(-1)*a**(-6)/a**(-2/5)) assuming a is positive.
a**(133/10)
Simplify ((((f**(-7))**(3/2))**(2/39))**(-36))**(-21) assuming f is positive.
f**(-5292/13)
Simplify (f**(1/3)/(f/(f*(f**(3/4)/f)/f))*f**(3/7)/f*((f/((f**(-2/7)*f)/f))/f)/f)/(f**(-1/2)*f**7)**19 assuming f is positive.
f**(-10559/84)
Simplify ((x/(x*x/(((x/((x/((x**(-48)*x)/x))/x*x))/x)/x))*(x*x*(x/(x/(x*(x**(2/37)*x)/x))*x)/x*x*x)/x*x)/(x*x**(-1/7))**0)**(2/139) assuming x is positive.
x**(-3400/5143)
Simplify ((q/(q*q/q**11)*q)/(q/q**(-1/3))*(q*(q/(q/(q*q**6)))/q)**10)**(8/7) assuming q is positive.
q**(1912/21)
Simplify ((v**(-1/3))**(11/5)*(v*v**6*v)/((v*v/v**(-1/3)*v)/v))/(v**7*v/(v/(v*v**(2/13)/v)))**6 assuming v is positive.
v**(-7408/195)
Simplify ((r*((r*(r*r**1)/r)/r)/r)**(-3/14))**(2/133)/((r*r**(-5)*r/((r**(2/13)*r)/r*r))/(r*(r/((r/(r**(-2/5)*r))/r))/r)**(-1)) assuming r is positive.
r**(154351/60515)
Simplify (((u**(-2)*u)/u)**(-7/3)/(u/(u*u**39)*u**(2/37)))**18 assuming u is positive.
u**(29046/37)
Simplify ((q/(q/(q/((q*q/q**(-3)*q*q)/q*q))*q))**(-8)/(q**(-2/23)/q**(-8/3)))**2 assuming q is positive.
q**(7372/69)
Simplify ((j*j/((j**(-2/83)/j)/j)*j)/j*j*j**(-23/6)*j*(j*j/j**38)/j*j**(2/97)/j)**(-1/43) assuming j is positive.
j**(1728805/2077158)
Simplify v**(-1/24)*(v/((v*v*v**(-27))/v)*v*v)/v*v**4/(v**19*v) assuming v is positive.
v**(287/24)
Simplify (w**8/((w**(-20)*w)/w)*(w**(2/19)/w)**(-20))**(-3/13) assuming w is positive.
w**(-2616/247)
Simplify ((d*d**(-1))**6)**19*(((d*d*d**6)/d)/d)/(d*d/(d/(d*d**4*d)))*(d*(d*d/(d*d*d**(2/9))*d*d*d)/d*d)/(d/(d/d**0)) assuming d is positive.
d**(25/9)
Simplify ((q/(q*q*q/(q*q/(q/q**(-2))*q)))/q)**(-15)*q/(q**(-1/4)/q)*q**(-2/29)*q*(q/q**(-3/7))/q*q*q**7*(q/((q*q/(q**(-2)*q))/q))**45 assuming q is positive.
q**(9427/812)
Simplify ((k/(k*k/(k**(-2/9)*k)*k))**(-1/11)*(k/(k/k**0*k))/k**(-1/10))/((k**(-2/7))**40)**(1/11) assuming k is positive.
k**(1733/6930)
Simplify (j**(-2/3))**(-2/111)*(j*j**4)/((((j/j**(1/9))/j)/j)/j)*((j*j/j**3*j)**(-6))**(-33) assuming j is positive.
j**(2372/333)
Simplify ((y**1/y**10)/(y**(1/17)*y**3))**(-4/23) assuming y is positive.
y**(820/391)
S