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Least common denominator (z/b+b/z)/z^2+b^(2/7)*z^(16*b)

An expression to simplify:

The solution

You have entered [src]
z   b             
- + -             
b   z    2/7  16*b
----- + b   *z    
   2              
  z               
$$b^{\frac{2}{7}} z^{16 b} + \frac{\frac{b}{z} + \frac{z}{b}}{z^{2}}$$
(z/b + b/z)/z^2 + b^(2/7)*z^(16*b)
General simplification [src]
b     1     2/7  16*b
-- + --- + b   *z    
 3   b*z             
z                    
$$b^{\frac{2}{7}} z^{16 b} + \frac{b}{z^{3}} + \frac{1}{b z}$$
b/z^3 + 1/(b*z) + b^(2/7)*z^(16*b)
Numerical answer [src]
b^0.285714285714286*z^(16.0*b) + (b/z + z/b)/z^2
b^0.285714285714286*z^(16.0*b) + (b/z + z/b)/z^2
Powers [src]
              b   z
          b   - + -
 2/7 / 16\    z   b
b   *\z  /  + -----
                 2 
                z  
$$b^{\frac{2}{7}} \left(z^{16}\right)^{b} + \frac{\frac{b}{z} + \frac{z}{b}}{z^{2}}$$
b^(2/7)*(z^16)^b + (b/z + z/b)/z^2
Combinatorics [src]
 2    2    9/7  3  16*b
b  + z  + b   *z *z    
-----------------------
             3         
          b*z          
$$\frac{b^{\frac{9}{7}} z^{3} z^{16 b} + b^{2} + z^{2}}{b z^{3}}$$
(b^2 + z^2 + b^(9/7)*z^3*z^(16*b))/(b*z^3)
Combining rational expressions [src]
 2    2    9/7  3  16*b
b  + z  + b   *z *z    
-----------------------
             3         
          b*z          
$$\frac{b^{\frac{9}{7}} z^{3} z^{16 b} + b^{2} + z^{2}}{b z^{3}}$$
(b^2 + z^2 + b^(9/7)*z^3*z^(16*b))/(b*z^3)
Common denominator [src]
 2    2    9/7  3  16*b
b  + z  + b   *z *z    
-----------------------
             3         
          b*z          
$$\frac{b^{\frac{9}{7}} z^{3} z^{16 b} + b^{2} + z^{2}}{b z^{3}}$$
(b^2 + z^2 + b^(9/7)*z^3*z^(16*b))/(b*z^3)
Rational denominator [src]
 2    2    9/7  3  16*b
b  + z  + b   *z *z    
-----------------------
             3         
          b*z          
$$\frac{b^{\frac{9}{7}} z^{3} z^{16 b} + b^{2} + z^{2}}{b z^{3}}$$
(b^2 + z^2 + b^(9/7)*z^3*z^(16*b))/(b*z^3)