Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.2" was replaced by "(12/10)". 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  :

    155        12
  ((———•(103))•——)•(23•53)
    100        10

Step  2  :

            6
 Simplify   —
            5

Equation at the end of step  2  :

    155            6
  ((——— • (103)) • —) • (23•53)
    100            5

Step  3  :

 3.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  3  :

    155              6
  ((——— • (23•53)) • —) • (23•53)
    100              5

Step  4  :

            31
 Simplify   ——
            20

Equation at the end of step  4  :

    31              6
  ((—— • (23•53)) • —) • (23•53)
    20              5

Step  5  :

Dividing exponents :

 5.1    2³   divided by   2²   = 2^{(3 - 2)} = 2¹ = 2

Dividing exponents :

 5.2    5³   divided by   5¹   = 5^{(3 - 1)} = 5²

Equation at the end of step  5  :

          6
  (1550 • —) • (23•53)
          5

Step  6  :

Multiplying exponents :

 6.1    2²  multiplied by  2³   = 2^{(2 + 3)} = 2⁵

Multiplying exponents :

 6.2    5¹  multiplied by  5³   = 5^{(1 + 3)} = 5⁴

Final result :

  (25•3•54•31)