Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "9." was replaced by "(9/1)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)⁷ = (2•5)⁷ = 2⁷ • 5⁷

Equation at the end of step  1  :

   45        9
  (——•(1013))—•(27•57))
   10(       1

Step  2  :

            9
 Simplify   —
            1

Equation at the end of step  2  :

   45
  (—— • (1013)) ÷ (9 • (27•57))
   10

Step  3  :

Equation at the end of step  3  :

   45
  (—— • (1013)) ÷ (32•27•57)
   10

Step  4  :

 4.1     10 = 2•5

(10)¹³ = (2•5)¹³ = 2¹³ • 5¹³

Equation at the end of step  4  :

   45
  (—— • (213•513)) ÷ (32•27•57)
   10

Step  5  :

            9
 Simplify   —
            2

Equation at the end of step  5  :

  9
  — • (213•513)) ÷ (32•27•57)
  2

Step  6  :

Dividing exponents :

 6.1    2¹³   divided by   2¹   = 2^{(13 - 1)} = 2¹²

Equation at the end of step  6  :

Step  7  :

            (32•212•513)
 Simplify   ————————————
             (32•27•57) 

Canceling Out :

 7.1      Canceling out  3² as it appears on both sides of the fraction line

Dividing exponents :

 7.2    2¹²   divided by   2⁷   = 2^{(12 - 7)} = 2⁵

Dividing exponents :

 7.3    5¹³   divided by   5⁷   = 5^{(13 - 7)} = 5⁶

Final result :

  (25•56)