Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.2" was replaced by "(32/10)". 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  :

   14         32
  (——•(106))•(——•(24•54))
   10         10

Step  2  :

            16
 Simplify   ——
            5 

Equation at the end of step  2  :

   14             16
  (—— • (106)) • (—— • (24•54))
   10             5 

Step  3  :

Multiplying exponents :

 3.1    2⁴  multiplied by  2⁴   = 2^{(4 + 4)} = 2⁸

Raising to a Power :

 3.2    5⁴   divided by   5¹   = 5^{(4 - 1)} = 5³

Equation at the end of step  3  :

   14
  (—— • (106)) • (28•53)
   10

Step  4  :

 4.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  4  :

   14
  (—— • (26•56)) • (28•53)
   10

Step  5  :

            7
 Simplify   —
            5

Equation at the end of step  5  :

   7
  (— • (26•56)) • (28•53)
   5

Step  6  :

Dividing exponents :

 6.1    5⁶   divided by   5¹   = 5^{(6 - 1)} = 5⁵

Equation at the end of step  6  :

  (7•26•55) • (28•53)

Step  7  :

Multiplying exponents :

 7.1    2⁶  multiplied by  2⁸   = 2^{(6 + 8)} = 2¹⁴

Multiplying exponents :

 7.2    5⁵  multiplied by  5³   = 5^{(5 + 3)} = 5⁸

Final result :

  (7•214•58)