Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.5" was replaced by "(15/10)".

Step  1  :

 1.1     10 = 2•5

(10)¹⁰ = (2•5)¹⁰ = 2¹⁰ • 5¹⁰

Equation at the end of step  1  :

   15
  (—— • (102)) • (5 • (210•510))
   10

Step  2  :

Raising to a Power :

 2.1    5¹  multiplied by  5¹⁰   = 5^{(1 + 10)} = 5¹¹

Equation at the end of step  2  :

   15
  (—— • (102)) • (511•210)
   10

Step  3  :

 3.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  3  :

   15
  (—— • (22•52)) • (511•210)
   10

Step  4  :

            3
 Simplify   —
            2

Equation at the end of step  4  :

   3
  (— • (22•52)) • (511•210)
   2

Step  5  :

Dividing exponents :

 5.1    2²   divided by   2¹   = 2^{(2 - 1)} = 2¹ = 2

Equation at the end of step  5  :

  150 • (511•210)

Step  6  :

Multiplying exponents :

 6.1    2¹  multiplied by  2¹⁰   = 2^{(1 + 10)} = 2¹¹

Multiplying exponents :

 6.2    5²  multiplied by  5¹¹   = 5^{(2 + 11)} = 5¹³

Final result :

  (211•3•513)