Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.4" was replaced by "(24/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

   3 24
  (—•——)•(23•53)
   1 10

Step  2  :

            12
 Simplify   ——
            5 

Equation at the end of step  2  :

   3   12
  (— • ——) • (23•53)
   1   5 

Step  3  :

 3.1     10 = 2•5

(10)⁹ = (2•5)⁹ = 2⁹ • 5⁹

Equation at the end of step  3  :

   3   12
  (— • ——) • (23•53)
   1   5 

Step  4  :

                      12
 Divide  (29•59)  by  ——
                      5 

Multiplying exponents :

 4.1    5⁹  multiplied by  5¹   = 5^{(9 + 1)} = 5¹⁰

Dividing exponents :

 4.2    2⁹   divided by   2²   = 2^{(9 - 2)} = 2⁷

Equation at the end of step  4  :

   3   (27•510) 
  (— • ————————) • (23•53)
   1      3    

Step  5  :

            3
 Simplify   —
            1

Equation at the end of step  5  :

       (27•510) 
  (3 • ————————) • (23•53)
          3    

Step  6  :

Final result :

  (23•53)