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)¹² = (2•5)¹² = 2¹² • 5¹²

Equation at the end of step  1  :

   26         45
  (——•(104))•(——•(212•512))
   10         10

Step  2  :

            9
 Simplify   —
            2

Equation at the end of step  2  :

   26             9
  (—— • (104)) • (— • (212•512))
   10             2

Step  3  :

Raising to a Power :

 3.1    2¹²   divided by   2¹   = 2^{(12 - 1)} = 2¹¹

Equation at the end of step  3  :

   26
  (—— • (104)) • (32•211•512)
   10

Step  4  :

 4.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  4  :

   26
  (—— • (24•54)) • (32•211•512)
   10

Step  5  :

            13
 Simplify   ——
            5 

Equation at the end of step  5  :

   13
  (—— • (24•54)) • (32•211•512)
   5 

Step  6  :

Dividing exponents :

 6.1    5⁴   divided by   5¹   = 5^{(4 - 1)} = 5³

Equation at the end of step  6  :

  (13•24•53) • (32•211•512)

Step  7  :

Multiplying exponents :

 7.1    2⁴  multiplied by  2¹¹   = 2^{(4 + 11)} = 2¹⁵

Multiplying exponents :

 7.2    5³  multiplied by  5¹²   = 5^{(3 + 12)} = 5¹⁵

Final result :

  (13•215•515•32)