Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "11.2" was replaced by "(112/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  1  :

   952       112
  (———•(107))———•(26•56))
   100(      10 

Step  2  :

            56
 Simplify   ——
            5 

Equation at the end of step  2  :

   952             56
  (——— • (107)) ÷ (—— • (26•56))
   100             5 

Step  3  :

Multiplying exponents :

 3.1    2³  multiplied by  2⁶   = 2^{(3 + 6)} = 2⁹

Raising to a Power :

 3.2    5⁶   divided by   5¹   = 5^{(6 - 1)} = 5⁵

Equation at the end of step  3  :

   952
  (——— • (107)) ÷ (29•7•55)
   100

Step  4  :

 4.1     10 = 2•5

(10)⁷ = (2•5)⁷ = 2⁷ • 5⁷

Equation at the end of step  4  :

   952
  (——— • (27•57)) ÷ (29•7•55)
   100

Step  5  :

            238
 Simplify   ———
            25 

Equation at the end of step  5  :

  238
  ——— • (27•57)) ÷ (29•7•55)
  25 

Step  6  :

Multiplying exponents :

 6.1    2¹  multiplied by  2⁷   = 2^{(1 + 7)} = 2⁸

Dividing exponents :

 6.2    5⁷   divided by   5²   = 5^{(7 - 2)} = 5⁵

Equation at the end of step  6  :

Step  7  :

            (28•7•17•55)
 Simplify   ————————————
             (29•7•55)  

Dividing exponents :

 7.1    2⁸   divided by   2⁹   = 2^{(8 - 9)} = 2^(-1) = ¹/_2¹ = ¹/₂

Canceling Out :

 7.2      Canceling out  7  as it appears on both sides of the fraction line

Canceling Out :

 7.3      Canceling out  5⁵ as it appears on both sides of the fraction line

Final result :

  17           
  —— = 8.50000 
  2