Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.2" was replaced by "(42/10)".

Step  1  :

 1.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  1  :

    42
  ((—— • (103)) • 5) • (24•54)
    10

Step  2  :

 2.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  2  :

    42
  ((—— • (23•53)) • 5) • (24•54)
    10

Step  3  :

            21
 Simplify   ——
            5 

Equation at the end of step  3  :

    21
  ((—— • (23•53)) • 5) • (24•54)
    5 

Step  4  :

Dividing exponents :

 4.1    5³   divided by   5¹   = 5^{(3 - 1)} = 5²

Equation at the end of step  4  :

  (4200 • 5) • (24•54)

Step  5  :

Multiplying exponents :

 5.1    2³  multiplied by  2⁴   = 2^{(3 + 4)} = 2⁷

Multiplying exponents :

 5.2    5³  multiplied by  5⁴   = 5^{(3 + 4)} = 5⁷

Final result :

  (27•3•57•7)