Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-3" was replaced by "^(-3)".

(2): "5.5" was replaced by "(55/10)". 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  :

   916          55
  (———•(10-3))•(——•(26•56))
   100          10

Step  2  :

            11
 Simplify   ——
            2 

Equation at the end of step  2  :

   916              11
  (——— • (10-3)) • (—— • (26•56))
   100              2 

Step  3  :

Raising to a Power :

 3.1    2⁶   divided by   2¹   = 2^{(6 - 1)} = 2⁵

Equation at the end of step  3  :

   916
  (——— • (10-3)) • (11•25•56)
   100

Step  4  :

 4.1     10 = 2•5

(10)^-3 = (2•5)^(-3) = (2)^(-3) • (5)^(-3)

Equation at the end of step  4  :

   916
  (——— • ((2)(-3)•(5)(-3))) • (11•25•56)
   100

Step  5  :

            229
 Simplify   ———
            25 

Equation at the end of step  5  :

   229
  (——— • ((2)(-3)•(5)(-3))) • (11•25•56)
   25 

Step  6  :

Multiplying exponents :

 6.1    5²  multiplied by  5³   = 5^{(2 + 3)} = 5⁵

Equation at the end of step  6  :

    229  
  ——————— • (11•25•56)
  (55•23)

Step  7  :

Dividing exponents :

 7.1    2⁵   divided by   2³   = 2^{(5 - 3)} = 2²

Dividing exponents :

 7.2    5⁶   divided by   5⁵   = 5^{(6 - 5)} = 5¹ = 5

Final result :

  (229•11•22•5)