Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "9.8" was replaced by "(98/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  1  :

   348         98
  (———•(103))•(——•(24•54))
   100         10

Step  2  :

            49
 Simplify   ——
            5 

Equation at the end of step  2  :

   348             49
  (——— • (103)) • (—— • (24•54))
   100             5 

Step  3  :

Raising to a Power :

 3.1    5⁴   divided by   5¹   = 5^{(4 - 1)} = 5³

Equation at the end of step  3  :

   348
  (——— • (103)) • (72•24•53)
   100

Step  4  :

 4.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  4  :

   348
  (——— • (23•53)) • (72•24•53)
   100

Step  5  :

            87
 Simplify   ——
            25

Equation at the end of step  5  :

   87
  (—— • (23•53)) • (72•24•53)
   25

Step  6  :

Dividing exponents :

 6.1    5³   divided by   5²   = 5^{(3 - 2)} = 5¹ = 5

Equation at the end of step  6  :

  3480 • (72•24•53)

Step  7  :

Multiplying exponents :

 7.1    2³  multiplied by  2⁴   = 2^{(3 + 4)} = 2⁷

Multiplying exponents :

 7.2    5¹  multiplied by  5³   = 5^{(1 + 3)} = 5⁴

Final result :

  (27•3•54•29•72)