Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.3" was replaced by "(33/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)¹ = (2•5)¹ = 2 • 5

Equation at the end of step  1  :

   25         33
  (——•(102))•(——•(2•5))
   10         10

Step  2  :

            33
 Simplify   ——
            10

Equation at the end of step  2  :

   25             33
  (—— • (102)) • (—— • (2•5))
   10             10

Step  3  :

Canceling Out :

 3.1      Canceling out  2  as it appears on both sides of the fraction line

Raising to a Power :

 3.2      Canceling out  5  as it appears on both sides of the fraction line

Equation at the end of step  3  :

   25
  (—— • (102)) • 33
   10

Step  4  :

 4.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  4  :

   25
  (—— • (22•52)) • 33
   10

Step  5  :

            5
 Simplify   —
            2

Equation at the end of step  5  :

   5
  (— • (22•52)) • 33
   2

Step  6  :

Multiplying exponents :

 6.1    5¹  multiplied by  5²   = 5^{(1 + 2)} = 5³

Dividing exponents :

 6.2    2²   divided by   2¹   = 2^{(2 - 1)} = 2¹ = 2

Equation at the end of step  6  :

  250 • 33

Step  7  :

Final result :

  8250