Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "6.8" was replaced by "(68/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)⁹ = (2•5)⁹ = 2⁹ • 5⁹

Equation at the end of step  1  :

    925        68
  ((———•(104))•——)•(29•59)
    100        10

Step  2  :

            34
 Simplify   ——
            5 

Equation at the end of step  2  :

    925            34
  ((——— • (104)) • ——) • (29•59)
    100            5 

Step  3  :

 3.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  3  :

    925              34
  ((——— • (24•54)) • ——) • (29•59)
    100              5 

Step  4  :

            37
 Simplify   ——
            4 

Equation at the end of step  4  :

    37              34
  ((—— • (24•54)) • ——) • (29•59)
    4               5 

Step  5  :

Dividing exponents :

 5.1    2⁴   divided by   2²   = 2^{(4 - 2)} = 2²

Equation at the end of step  5  :

                34
  ((37•22•54) • ——) • (29•59)
                5 

Step  6  :

Multiplying exponents :

 6.1    2²  multiplied by  2¹   = 2^{(2 + 1)} = 2³

Dividing exponents :

 6.2    5⁴   divided by   5¹   = 5^{(4 - 1)} = 5³

Equation at the end of step  6  :

  (37•23•53•17) • (29•59)

Step  7  :

Multiplying exponents :

 7.1    2³  multiplied by  2⁹   = 2^{(3 + 9)} = 2¹²

Multiplying exponents :

 7.2    5³  multiplied by  5⁹   = 5^{(3 + 9)} = 5¹²

Final result :

  (37•212•512•17)