Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3." was replaced by "(3/1)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  1  :

   96       3
  (——•(107))—•(25•55))
   10(      1

Step  2  :

            3
 Simplify   —
            1

Equation at the end of step  2  :

   96
  (—— • (107)) ÷ (3 • (25•55))
   10

Step  3  :

Equation at the end of step  3  :

   96
  (—— • (107)) ÷ (3•25•55)
   10

Step  4  :

 4.1     10 = 2•5

(10)⁷ = (2•5)⁷ = 2⁷ • 5⁷

Equation at the end of step  4  :

   96
  (—— • (27•57)) ÷ (3•25•55)
   10

Step  5  :

            48
 Simplify   ——
            5 

Equation at the end of step  5  :

  48
  —— • (27•57)) ÷ (3•25•55)
  5 

Step  6  :

Multiplying exponents :

 6.1    2⁴  multiplied by  2⁷   = 2^{(4 + 7)} = 2¹¹

Dividing exponents :

 6.2    5⁷   divided by   5¹   = 5^{(7 - 1)} = 5⁶

Equation at the end of step  6  :

Step  7  :

            (211•3•56)
 Simplify   ——————————
            (3•25•55) 

Dividing exponents :

 7.1    2¹¹   divided by   2⁵   = 2^{(11 - 5)} = 2⁶

Canceling Out :

 7.2      Canceling out  3  as it appears on both sides of the fraction line

Dividing exponents :

 7.3    5⁶   divided by   5⁵   = 5^{(6 - 5)} = 5¹ = 5

Final result :

  320