Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "9.1" was replaced by "(91/10)".

Step  1  :

 1.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  1  :

  291
  ——— • (24•54))
  (10

Step  2  :

            91
 Simplify   ——
            10

Equation at the end of step  2  :

  291
  ——— • (24•54))
  (10

Step  3  :

Dividing exponents :

 3.1    2⁴   divided by   2¹   = 2^{(4 - 1)} = 2³

Dividing exponents :

 3.2    5⁴   divided by   5¹   = 5^{(4 - 1)} = 5³

Equation at the end of step  3  :

Step  4  :

                 302    
 Simplify   ————————————
            (7•13•23•53)

Dividing exponents :

 4.1    2¹   divided by   2³   = 2^{(1 - 3)} = 2^(-2) = ¹/_2²

Final result :

       151               
  ———————————— = 0.00332 
  (7•13•22•53)