Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.5" was replaced by "(45/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)¹⁰ = (2•5)¹⁰ = 2¹⁰ • 5¹⁰

Equation at the end of step  1  :

   29          45
  (——•(1018))•(——•(210•510))
   10          10

Step  2  :

            9
 Simplify   —
            2

Equation at the end of step  2  :

   29              9
  (—— • (1018)) • (— • (210•510))
   10              2

Step  3  :

Raising to a Power :

 3.1    2¹⁰   divided by   2¹   = 2^{(10 - 1)} = 2⁹

Equation at the end of step  3  :

   29
  (—— • (1018)) • (32•29•510)
   10

Step  4  :

 4.1     10 = 2•5

(10)¹⁸ = (2•5)¹⁸ = 2¹⁸ • 5¹⁸

Equation at the end of step  4  :

   29
  (—— • (218•518)) • (32•29•510)
   10

Step  5  :

            29
 Simplify   ——
            10

Equation at the end of step  5  :

   29
  (—— • (218•518)) • (32•29•510)
   10

Step  6  :

Dividing exponents :

 6.1    2¹⁸   divided by   2¹   = 2^{(18 - 1)} = 2¹⁷

Dividing exponents :

 6.2    5¹⁸   divided by   5¹   = 5^{(18 - 1)} = 5¹⁷

Equation at the end of step  6  :

  (29•217•517) • (32•29•510)

Step  7  :

Multiplying exponents :

 7.1    2¹⁷  multiplied by  2⁹   = 2^{(17 + 9)} = 2²⁶

Multiplying exponents :

 7.2    5¹⁷  multiplied by  5¹⁰   = 5^{(17 + 10)} = 5²⁷

Final result :

  (29•226•527•32)