15)
Simplify ((a**(-9)/a)/(a**25*a)*(a/(a*a**15*a))**45)**(2/41) assuming a is positive.
a**(-1512/41)
Simplify ((d/(d/(d*(d*((d/(d/(d/d**(-1))))/d*d)/d*d)/d)))**(-2/11)*d/(d/(d*d**3))*(d*(d**4/d)/d*d)/d)/(d**(2/7)/d**(1/2))**(-2) assuming d is positive.
d**(464/77)
Simplify ((s**(-18/7)/s*s**10)**(-12/7))**(-32) assuming s is positive.
s**(17280/49)
Simplify ((j**(-10)*j**(-37)/j)/(j**0)**(2/17))**(-35) assuming j is positive.
j**1680
Simplify ((x/(x/x**(4/9)))**(-9)*((((x**1*x*x*x)/x)/x)/x)/(x*x*x**(-42)))**(-11/6) assuming x is positive.
x**(-407/6)
Simplify (s**2/(s*s**3))/(((s*s**(1/4))/s)/(s*s/s**(-2/9)*s*s))*(s**(1/5)*s**(1/3)/s)/(s**(1/4))**(-9/4) assuming s is positive.
s**(1489/720)
Simplify ((p**(-3/4)/p)**(-2/57))**(7/11)/((p*p*p*p**(-1/2)*p/(p**(2/15)*p*p)*p)/(p**(-2/3)*p/p**4)) assuming p is positive.
p**(-6264/1045)
Simplify ((c/(c/(c/(c/(c**(-1/6)/c)))*c*c))/(c**7*c*c)*((c*c**(-1))/c*c)**(-13))/((c/(c*c**(-1)))/c*c*c*c**(2/5)/c*(c**0)**(-19)) assuming c is positive.
c**(-407/30)
Simplify p**(5/6)/p**(5/6)*(p/(p**(-4/3)/p))/p**1*(p/(p*p/((p**(-2/5)*p*p)/p)*p))/(p*p**(-2)/p*p)*(p/(p**(-1/8)*p)*p)/(p**(-1/3)*p) assuming p is positive.
p**(287/120)
Simplify ((((m/m**(-13))/m*m)/m**(2/21))**(-2/15))**(-4) assuming m is positive.
m**(2336/315)
Simplify ((x/x**(2/39))/x**15*(x/(x/(x*x**(-1/4)*x)))**(-6))**(-21/2) assuming x is positive.
x**(13405/52)
Simplify (a**(2/13)*a*a**(5/4))**(-10/3)*(a**(-2)/((a*(a*a**(2/7))/a*a*a)/a))/(a**(3/8)/(a/(a*a**(-4)*a*a*a))) assuming a is positive.
a**(-25495/2184)
Simplify (x**1)**(17/3)*(x*x/(x*x*x**2))/x*x*x**(-1)/x*((x*x*x*x/(x**(-6)/x)*x)/(x**(-2/15)*x))/(x*x**(1/6)*((x*x**3)/x*x)/x) assuming x is positive.
x**(259/30)
Simplify (g**(5/3)*g**(-2))/(((((g*g*g**(2/19))/g)/g)/g)/(g**(2/9)/g*g))*(g*g**(1/4))**(25/4)*(g/g**(-1))/g**(-1/2) assuming g is positive.
g**(30359/2736)
Simplify ((k**(-21)/k*k*k*k**(3/11)/k*k)/((((k**(8/7)/k*k)/k)/k*k)/(k/k**(2/37))))**27 assuming k is positive.
k**(-1455705/2849)
Simplify ((((l**(-1/4)*l)/l)**(-11)*(l/(l/l**(2/5))*l)**(-9))**(9/8))**(-47) assuming l is positive.
l**(83331/160)
Simplify (((y**(-1)/y)**(3/22)*y**(-2/3)*y/(((y*y*(y*y**(-2/5)*y)/y)/y)/y)*y*y)**43)**(1/27) assuming y is positive.
y**(10363/4455)
Simplify (s/s**27*s*s**(-39))/(s/(s/(s*s**(-41)))*(s**(5/9)/s)/s) assuming s is positive.
s**(-203/9)
Simplify ((y/(y*y**(-1)))/y)**(-35)/(y**3*y*y*(y/y**(-1/5))/y)*(y*y/(y*y**5)*y**(-6/7))**(-1/36) assuming y is positive.
y**(-3191/630)
Simplify (o**(2/7))**(-2/115)*o*o**(-1/13)*o*o*o*o*o**(-2/9)*o*o*(o*o*o**(-1))**(-22/3)/(o*o**(3/7)*o**(-3/7)) assuming o is positive.
o**(-154223/94185)
Simplify ((p/(p/p**(-2/9)))**2)**(3/7)*(p/p**(1/5)*p)/p*((p**(2/13)*p)/p)/p*(p**(-1))**7 assuming p is positive.
p**(-9878/1365)
Simplify i/i**(-8/3)*i**(2/3)*i/(i**(-21)*i)*i**(2/71) assuming i is positive.
i**(5402/213)
Simplify ((o/(o/o**(-4)))/o*o**(2/7))**43*((o*o**(-2/17))/o*o*o*o**(4/3)*o)/(o/(o/(o**2/o))*o*o**(-1/4)*o) assuming o is positive.
o**(-287383/1428)
Simplify b**(3/29)/(b/((b/(b*b/(b/b**(-1/7))*b))/b))*b**(-9)*b*(b/(b*(b/(b*b*b/(b/b**(-1/13)*b)*b))/b))/b assuming b is positive.
b**(-25943/2639)
Simplify ((((i/i**(6/11))**(-28))**(-2/47))**(-2/31))**29 assuming i is positive.
i**(-16240/16027)
Simplify (i**(1/4)/i*i*i/i**(-10)*i*i**(-7)*i*i**(-6/11))**(6/7) assuming i is positive.
i**(753/154)
Simplify (s*s**(-4))/s**(-4/3)*(s**(-2/5))**(-26)*(s**1*s)**(-40)*(s/s**(-4))/(s**(2/7)*s) assuming s is positive.
s**(-7093/105)
Simplify (h/h**(-1))**21/(h*h*h**1*h)**(1/7)*(h**(2/5))**(28/5)/((h**(-4)*h)/h**7) assuming h is positive.
h**(9392/175)
Simplify (f**(1/2))**(-42)/((f*f**(2/11)*f*f)/f**3)*f**(2/13)*f*f**(2/15)/f*f**(1/5)*f*f/(f*f/(f*(f/((f**6/f)/f))/f*f)) assuming f is positive.
f**(-9736/429)
Simplify ((y**1/y)**4*y**(-5)*y**(-1/23))**(1/17) assuming y is positive.
y**(-116/391)
Simplify ((l*l/l**(5/8)*l**(-5/3)*(l*(l**(-1/2)*l)/l*l)**(-4))**(-25))**(-1/17) assuming l is positive.
l**(-3775/408)
Simplify (a**(-3/5)/(a/a**(-1/2)))**(2/103)*(a**(-3/5)*a**4/a)/(a**(1/10)*a**(1/5)) assuming a is positive.
a**(2121/1030)
Simplify ((r*r*r**(-6)*r**(3/10)/r)/(r/(r/((r*r**3*r)/r*r))*(r/r**(-11))/r))**(-35/2) assuming r is positive.
r**(1449/4)
Simplify (s*s*s*s/(s/(s**(-19)/s)))**(-3)*s/((s**(-19)*s)/s)*s/(((s**(2/3)*s*s)/s)/s) assuming s is positive.
s**(214/3)
Simplify (r*r**(-4))/r**7*(((r*r*r*r/r**(1/3)*r)/r)/r*r)**(-40)*(r/(r**7*r)*r*r/(r*r*r**(-3)))/(r/r**(-2))**20 assuming r is positive.
r**(-662/3)
Simplify (b*((b**34*b)/b*b)/b)**(13/3)*(b*b/b**(3/10))**(-1/61) assuming b is positive.
b**(277499/1830)
Simplify (b**(-5/2)/b**21)/(b**(6/5)*b**(-42)/b) assuming b is positive.
b**(183/10)
Simplify ((p**5/p*p)**(16/7)*(p**3)**35)**(8/9) assuming p is positive.
p**(6520/63)
Simplify ((s**(1/2)*s)**37/(s**(-1))**(3/7))/(s**3/(s/(s*s**1/s*s)*s)*s**1/(s/s**(-6))) assuming s is positive.
s**(825/14)
Simplify ((c*(c/(c**1*c))/c)**(-10/3))**4*((c/(c/c**(2/3))*c*c)/(c/c**(2/7)))**38 assuming c is positive.
c**(1838/21)
Simplify (n*n**(-3/5)*n)/((n*n**(-3)*n)/n*n*n)*(n/(n**(-1/2)*n))**49*(n/n**(2/7))**(-46)*(n/n**(-5/4))/n**(1/4) assuming n is positive.
n**(-347/70)
Simplify (v**(-2/21)/(v*v/(v**1*v)))/(v**(-1/2))**(1/19)*((v/(v/(v/(v*v*v/(v*v**(-3))*v)*v))*v)**(-4))**(-8/3) assuming v is positive.
v**(-25591/798)
Simplify ((h**0)**(2/91))**(-4/23)/(((h**(-1)*h*h)/h)**42*h**(1/3)*h*h*h**(-5)) assuming h is positive.
h**(8/3)
Simplify ((((f**(-14)*f)/f)/f)/(f*f**(1/31)*f))/(f**(2/35)*(f/f**(-45))/f) assuming f is positive.
f**(-67367/1085)
Simplify ((v/(v*v/(v**(-2/5)/v*v)))/v**(3/8)*(v*v/v**0)**(3/22))/((v**(-1))**(-8)/(v/((v*v*v**(1/2))/v)*(v/v**(1/4))/v)) assuming v is positive.
v**(-4511/440)
Simplify ((g**0)**(-3/25)/(g/g**(1/4))**(-3/2))/((g**0)**(2/15)*g**(-6)/(g*g*g**7)) assuming g is positive.
g**(129/8)
Simplify ((o**(-1/71)*o*o**(2/7))/(o**(-20)/(o/(o/((o*o**(-44))/o)))))**(-40) assuming o is positive.
o**(451840/497)
Simplify (((h/h**(-2/5))**(-5)/(((h*h*h**(-1)*h*h*h)/h)/h**(3/7)))**(-5/7))**(-8/3) assuming h is positive.
h**(-2680/147)
Simplify (((a/a**2*a)/a)/a)**(2/11)/(((a/(a*a**(-1/4)))/a)/(a*(a**(3/10)/a)/a))*(((((a*a**(-1/10)/a)/a)/a*a)/a)/(a/a**0))**(-21) assuming a is positive.
a**(14253/220)
Simplify ((g*g**(3/4)*g**(-1)*g)/(g**0*g)**(-6/19))/((g*g**1*g)**35*(g*g**0*g*g)/g**(-2/5)) assuming g is positive.
g**(-40407/380)
Simplify (j**(-1/11)/(j**3*j))**(-4)/((j/(j*j*(j*j/(j/(j**(-9)*j)))/j)*j)/(j/(j/(j**6/j))))**(-31/5) assuming j is positive.
j**(1923/55)
Simplify ((v**(1/3))**0/(v/v**1)**(-1/32))/(v**6/((v**5/v)/v)*v**5*v/v**(2/23)) assuming v is positive.
v**(-205/23)
Simplify ((g**1/g)/g**(-6)*g**1*g**(-3/8))/((g*g/(g*g/g**(-1/2)*g*g*g*g))**(-30)*(g*g**1)**(-32)) assuming g is positive.
g**(-515/8)
Simplify (j**(1/4)/((j/((j*j*j/(j/(j/j**(-7)*j))*j)/j))/j*j*j))/(j**1)**47*(j**(-7)*j**2)/(j*(j**(2/7)/j)/j*j*j*j*j*j*j**(1/4)) assuming j is positive.
j**(-331/7)
Simplify ((((o**(-1/2)/o)/o)/o)/o)**(-26)*o**(-5)/(o/(o**(-1)*o))*(o**7/(o/(o*o/(o*o/(o/o**(1/3))))))**28 assuming o is positive.
o**(893/3)
Simplify (((l**(-9)/(l/(l/(l/(l*l*l*l**(-4)/l*l)*l))))**38)**(-50))**(2/23) assuming l is positive.
l**(45600/23)
Simplify ((x**(11/4))**(11/2)/(x*x/(x/(x/((x**(1/15)*x)/x))*x*x)*x*x*x/(x/x**(-12))))**25 assuming x is positive.
x**(15115/24)
Simplify ((i/i**3)**(-2/35)/(i**(2/7)/i)**(3/10))**(-1/6) assuming i is positive.
i**(-23/420)
Simplify (((g**2)**(-14/3)*g**8/g**(-7))**(-14))**9 assuming g is positive.
g**(-714)
Simplify (((a/a**0)/a**(-1))/((a*a*a*a**5*a)/a*a**(-1/6)))/((a*a**4/a*a*a)/(a**7*a)*(a/(a*a**(2/5))*a)/((a/a**(1/6))/a)) assuming a is positive.
a**(-23/5)
Simplify (y/(((y/y**(-4))/y)/y)*y*y**(-4/7))/(y**(1/6)/y*y**7)*y*y**6*y**(-2/7)*((y/(y*y*y*y**1*y))/y)**(-26) assuming y is positive.
y**(5417/42)
Simplify ((r*r**(-1))/r**0*r**(-15)*r*r/r**(8/5))**(-1/22) assuming r is positive.
r**(73/110)
Simplify (l/(l*l**(-1/2))*l)**(-2/17)*(l/(l*l*(l*l/(l**6/l*l))/l*l))/l**(-1/5)*(l**1)**(-1/4)*l**0*(l**(-3)*l)/l assuming l is positive.
l**(-77/340)
Simplify ((n**(2/3)/n)/n*n/n**0)**(2/3)*n**5*n**(2/13)*n/n**(-4)*n/n**(-2/11)*n assuming n is positive.
n**(15590/1287)
Simplify g*g**(-3/5)*(g**(1/2)*g)/g*(g**(-1))**(-13)*(g**(3/7)*g*g**(