Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.5" was replaced by "(35/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)⁹ = (2•5)⁹ = 2⁹ • 5⁹

Equation at the end of step  1  :

   56 35
  (——•——)•(29•59)
   10 10

Step  2  :

            7
 Simplify   —
            2

Equation at the end of step  2  :

   56   7
  (—— • —) • (29•59)
   10   2

Step  3  :

 3.1     10 = 2•5

(10)¹² = (2•5)¹² = 2¹² • 5¹²

Equation at the end of step  3  :

   56   7
  (—— • —) • (29•59)
   10   2

Step  4  :

                        7
 Divide  (212•512)  by  —
                        2

Multiplying exponents :

 4.1    2¹²  multiplied by  2¹   = 2^{(12 + 1)} = 2¹³

Equation at the end of step  4  :

   56   (213•512) 
  (—— • —————————) • (29•59)
   10       7    

Step  5  :

            28
 Simplify   ——
            5 

Equation at the end of step  5  :

   28   (213•512) 
  (—— • —————————) • (29•59)
   5        7    

Step  6  :

Multiplying exponents :

 6.1    2²  multiplied by  2¹³   = 2^{(2 + 13)} = 2¹⁵

Canceling Out :

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

Dividing exponents :

 6.3    5¹²   divided by   5¹   = 5^{(12 - 1)} = 5¹¹

Equation at the end of step  6  :

  (215•511) • (29•59)

Step  7  :

Multiplying exponents :

 7.1    2¹⁵  multiplied by  2⁹   = 2^{(15 + 9)} = 2²⁴

Multiplying exponents :

 7.2    5¹¹  multiplied by  5⁹   = 5^{(11 + 9)} = 5²⁰

Final result :

  (224•520)