15)
Simplify (((q*(q*q**(-1/20))/q*q)/(q**33*q))/(q**(-3)/(q/(q**7/q)*q*q)))**(25/3) assuming q is positive.
q**(-3205/12)
Simplify ((k**(-1/5))**(2/9)*k**2*k*k/k**(-1/11))/((k*k**14*k)/k*k**(-7))**(6/7) assuming k is positive.
k**(-9739/3465)
Simplify (((b/b**20*b)/b*(b/(b/b**2))/b)/(b**(-2)*b**(-3)/b))**(2/29) assuming b is positive.
b**(-24/29)
Simplify ((i/(i*i**22)*i)**32/(i**(-22))**(17/3))**(17/2) assuming i is positive.
i**(-13957/3)
Simplify (n**(-3/16))**(-9)/(n/(n/((((n**(-8)/n)/n*n*n)/n)/n))*n**(6/7)) assuming n is positive.
n**(1213/112)
Simplify (b**2/b*b*b/(b/b**(2/11)))**40/((b*b**(2/5))/b**(3/8)*(b/(b*(((b/(b/((b**(-1/4)/b)/b)))/b)/b*b)/b))/b**0) assuming b is positive.
b**(36079/440)
Simplify (s**(-1/3)/s*s**(1/4))/(((s*s**(3/7))/s*s)/s**(-4/7))*((s**1*s)/(s*s**(2/13)/s))**18 assuming s is positive.
s**(4703/156)
Simplify ((a**(2/7)*a)**(-1/5))**9/((a/a**(-2/7))**(-32))**(2/75) assuming a is positive.
a**(-213/175)
Simplify (s/(s/s**(-9))*s)/s**(1/9)*(s*s**1/s)**41*((s**(3/7)/s)/(s**(5/4)*s*s*s))**(-21/5) assuming s is positive.
s**(1913/36)
Simplify ((s*s*(s*s*((s*s**1*s)/s)/s*s)/s)**(-13/2))**(-1/38)/((s*((s*(s**(-2/9)/s)/s)/s)/s)**(1/14)/(s*s**(1/2)*s)**(3/4)) assuming s is positive.
s**(27665/9576)
Simplify (x**(6/7)*x)**(-11)/(x/(x**(-2/15)/x)*x**(-6)/x*x) assuming x is positive.
x**(-1739/105)
Simplify (((r/r**(-21/2))/r)**3*r*r**(-10/7)*r**(-6/13))**12 assuming r is positive.
r**(33426/91)
Simplify (f**1*(f/(f*f*f**(-1/25)*f*f))/f)**26*(f**(-2/9))**(-3/41)/(f*f/f**(-1/2)*f*f)**(-41) assuming f is positive.
f**(661471/6150)
Simplify (j**(3/4)/j)/((j/(((j/((j**5*j)/j))/j)/j))/j*j)*((j/j**6)/j*j)/(j**(-1/5)/j)*((j/(j*j/j**(-4)*j))/j*j**3)**(-7) assuming j is positive.
j**(339/20)
Simplify (j/((j*(j*j**5)/j)/j)*j**(1/16))/(j**(-2/15)/j**(-3))*((j**(1/4)*j)/j*j**0*j)/((j/j**0)/j**8) assuming j is positive.
j**(347/240)
Simplify (((f*f**(2/5))/(f*f*f*f/(f/(f/(f*f**5)))*f*f))/(f/(f/f**(-1)))**(-16/3))/(f**4/(f/f**3))**(13/4) assuming f is positive.
f**(-703/30)
Simplify (w**(-2)*w*w**(-7/6)*w)/(((w/(w*w**10)*w)/w)/(w**(-2/71)/w)) assuming w is positive.
w**(3325/426)
Simplify ((((y**(2/19)/y)/y**7)**(-15))**(-9))**(2/5) assuming y is positive.
y**(-8100/19)
Simplify ((a/(a*a**(1/3)*a))/a)**(-10)/(((a/a**(1/6))/a)/a**(-3/4))*((a**1)**(-16))**35 assuming a is positive.
a**(-2149/4)
Simplify ((v**2)**28)**(-25)*v**4*v**(2/13)*(v**(1/3)*v)**(-1/13) assuming v is positive.
v**(-54442/39)
Simplify ((b**(4/11)/(b/b**(3/17)*b))/(b*((b/(b**(-3/5)/b))/b)/b)**46)**(-6/13) assuming b is positive.
b**(421086/12155)
Simplify (l**(-2/5))**(-4/31)/(l**(-2)*l/l**(1/8))*((l**(-2/7)*l)**24)**22 assuming l is positive.
l**(3283813/8680)
Simplify (((h**(-1/5)*h/(h/(h/(h/h**(3/2)))))/(h**(-1/5))**(-29))**(-2/89))**(-2/73) assuming h is positive.
h**(-18/6497)
Simplify (c/(c**4*c)*c*c**(2/3))/(c**(-1/4)/c)**(-1/23)*(c**(2/7)*c**(-1/2)/c*c)**(-2/23) assuming c is positive.
c**(-199/84)
Simplify (j**(-5)*j**(1/6)/j)**41*((j/j**(-3/5))**(1/2))**(1/16) assuming j is positive.
j**(-14347/60)
Simplify ((x**16/x**(-21))/(x*x*x**8*x)**(-7))**(2/87) assuming x is positive.
x**(76/29)
Simplify ((v*v**(-5)*v*v**1)/((v**(1/4)/v)/v)**(-28/5))/((((v/(v/((v**(2/7)/v)/v*v*v)))/v)/v)**(-2/53))**(5/11) assuming v is positive.
v**(-241379/20405)
Simplify ((s**(-3/25)*s)/s**(10/19)*(s**(2/61)/s*s)**29)**45 assuming s is positive.
s**(340182/5795)
Simplify ((h**3/(h/h**(2/7)))/((h**(2/5)/h)/(h**2/h)))/((h**(-3)/h**(-6))/(h/(h*h**(1/3)))**(-15/4)) assuming h is positive.
h**(299/140)
Simplify (x**(-1/6)*x**(1/12)*x/(x/x**(-1/23))*x/(x/(x**13/x)))**(2/21) assuming x is positive.
x**(3277/2898)
Simplify ((((q/(((q/q**(-2/9))/q)/q))/q)/q)**37)**(-8)*(((q*q/(q*q**(-1/3)))/q)/q)**(7/2)/(q**(-2/5)/(q/q**(-5/2))) assuming q is positive.
q**(6061/90)
Simplify (y/(y/(y*(y*y**30)/y)))**(6/11)*(y*y**(-9/7))/(y*y*((y**(-23)/y)/y)/y) assuming y is positive.
y**(3128/77)
Simplify w**(-1/36)/(w**(-4)*w)*(w**6*w)**(-32) assuming w is positive.
w**(-7957/36)
Simplify ((q**(-1/12)*q/q**4)/(q**(-2/5))**(-21))/((q**(-2/7))**(-1/5)*q**(-4)/((q*q*(q*q/(q/(q/(q/q**(-5)))))/q)/q)) assuming q is positive.
q**(-4847/420)
Simplify (x/(x/x**1))**(-25)/(x**(-2)*(x**1/x)/x)*(x**(-4)*x*x**(5/4)*x*x)**(-49) assuming x is positive.
x**(-137/4)
Simplify (((v**(-1)/v)**(-21)*v/(v*v**(3/2))*v/v**(-1/2)*v)**(-3))**(21/5) assuming v is positive.
v**(-2709/5)
Simplify ((s*s**1)**43/((s*s**(-3/2)*s)/s*s*s*s*s**8))/(s/(s*s**(3/2))*s**1*s/(s**(-9/5)/s)*s/(s/s**(-1/11))) assuming s is positive.
s**(3976/55)
Simplify r**(2/27)*r**(-4)*r*r*r*(r**(-2/7))**24 assuming r is positive.
r**(-1471/189)
Simplify b*b**0*b**7*b*b*b/(b**(1/3)/b*b)*(b/b**(-1))/b*(b/((b**(-2)*b)/b)*b*b**(-2/3)*b*b)**(6/5) assuming b is positive.
b**(271/15)
Simplify ((q*q*q*(q/(q*q**(3/2)))/q*q)**(-21))**(-2/61)/(q**(-8)*q/((q/q**5)/q*q)*q/q**(-8)*q*(q**(-1/4)*q)/q*q) assuming q is positive.
q**(-1639/244)
Simplify ((((d*d/(d/d**2))/d**(3/2))/(((((d*d**(-1/6))/d)/d)/d)/(d*d**(-1/5)/d)))**(-2/5))**(-19) assuming d is positive.
d**(1976/75)
Simplify ((j*j*(j/(j*j/(j/(j**1*j)))*j)/j)**13)**6*j**4*j**(-2/11)*((j/(j/((j**(-2)/j)/j)*j)*j)/j)/((j*j*j**(-2))/j) assuming j is positive.
j**(-2/11)
Simplify ((x/(x/(x/(x*(x*x/x**(1/14))/x))))**(-3/25)*x**1/x**(2/15))**(3/2) assuming x is positive.
x**(1027/700)
Simplify (z**3/z*z/((z**1/z)/z*z*z)*z*z**(1/3)*z**(1/6)*z)/((z**(-1)*z)/(z/(z/((z/(z*z**(1/4)))/z))))**3 assuming z is positive.
z**(3/4)
Simplify (r**1*r)**8*(r**0)**(-18/5)*(r**9*r/(r**(-2/13)*r))**(-4/5) assuming r is positive.
r**(564/65)
Simplify (k*(k/(k*k**(7/9)*k))/k*k/k**40)/(k**7*k*k*k/k**(-45)*k) assuming k is positive.
k**(-871/9)
Simplify ((m/(m*m*m/(m*(m/(m/(m*m**1)))/m)*m))/m**(4/3))**(-13)*m*m/m**(1/2)*m*m**(-5)*m**2*m/((m*m**(1/6)*m*m)/m) assuming m is positive.
m**(86/3)
Simplify ((f**(-1)*f*f**4)/(((f**(-8)*f)/f)/f**(-1/3)))/((f/f**(-1/17))/((f**(-2/31)*f)/f))**36 assuming f is positive.
f**(-45491/1581)
Simplify (b**(-2/3)/((b*b*b/(b*b/(b/b**0*b)*b))/b))**(-8/9)*(b**(2/13)/(b/b**4))**(2/41) assuming b is positive.
b**(574/351)
Simplify ((i**(-4)*i*i*i**(4/7)/i*i*i*i)/(i**(-1/6)*i/(i/(i/i**(2/75)))))**50 assuming i is positive.
i**(-247/21)
Simplify (t*t*t**(2/23)*t/(t**(2/9)/t*t))**35*((t*t*t/(t**3/t))/t*t**(4/7)*t)**32 assuming t is positive.
t**(218149/1449)
Simplify ((m*m*m**(-2/17))/m**(-5/6))**(-3/2)*((m*m/m**(2/5)*m)**12)**(-27) assuming m is positive.
m**(-287801/340)
Simplify (((n*n*n/((n*n**5)/n)*n**(-7/4)/n)**47)**(-11))**(-5) assuming n is positive.
n**(-49115/4)
Simplify s/(s/(s/((s*s**(2/31))/s*s)))*s*s**(42/13)*(s/(s*s**(-6/17)*s*s)*s)/s*s**(-11) assuming s is positive.
s**(-58102/6851)
Simplify (k*k*k/((k**(-2/11)*k)/k)*k/k**6)/(k/((k/(k*k*(k**(-1/2)/k)/k))/k)*k**(-5))*((k/k**1)**(16/11))**(-1/60) assuming k is positive.
k**(59/22)
Simplify (v*(v**29*v)/v*v**34*((v**(-11/5)*v)/v)**(-21/4))**(-2/5) assuming v is positive.
v**(-1511/50)
Simplify ((v*v**(-38)/v)/v**(-36))/((v*v**(-44))/v*(v/(v**(-1)*v))/v) assuming v is positive.
v**42
Simplify ((r**(-2))**(1/6)/(r**(-2)*r)**5)**(2/3) assuming r is positive.
r**(28/9)
Simplify (f*f/f**(-5/9)*f**(4/9)*(f**28)**(-1/24))**18 assuming f is positive.
f**33
Simplify ((k*k**3*k*k)/(k**6/k)*k**(-2/11)/k*k*k/k**(2/3))/((k/((k*k**(2/7))/k))/(k/k**(1/7))*((k/(k**(1/2)*k)*k)/k)**(-26/7)) assuming k is positive.
k**(-130/231)
Simplify (((f**15*f)/(f/((f*f**(6/11))/f)))/((f**(-21)/f)/(f*f/((f*(f**17/f)/f*f)/f))))**(-5) assuming f is positive.
f**(-1295/11)
Simplify (u**(2/11)*u*(u/u**(-24))/u*u*u*(u/(u*u/(u/(u*u**(-4)))))/(u/(u**16/u)))**(-21/5) assuming u is positive.
u**(-10206/55)
Simplify (z*z**(-4/9)/z)/z*z*z/(z*(z*z**2*z)/z)*(z**(-2)*z)**(-1/6)*(z*z*z**(-2/7)*z)**(-1/53)/(z**(-2/5)/((z**(-6)*z)/z)) assuming z is positive.
z**(-298139/33390)
Simplify (n**(-1/5)/((n/n**(1/3)*n)/n))**(2/137)/(n**(9/2)*n*n**(-2/5))**(-6/5) assuming n is positive.
n**(62753/10275)
Simplify (p**(3/11)/(p/(p/(p/((p*p**(-10/11))/p)*p)))*(p/(p**(-9)*p)*p)/(p*p*p**(-14)*p))**(-50) assuming p is positive.
p**(-10100/11)
Simplify (w*w**(-1/2))**30/(w/(w**(2/11)*w)*w*w/(w**(-1)*w))*(w**(2/17)/w*w**3)**(1/4) assuming w is positive.
w**(2564/187)
Simplify ((q**(-2/13)/(q**7/q))/(q**(-7/5)/(q*q**(1/5)*