Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2." was replaced by "(2/1)". 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  :

    32        2
  ((——•(107))•—)•(24•54)
    10        1

Step  2  :

            2
 Simplify   —
            1

Equation at the end of step  2  :

    32
  ((—— • (107)) • 2) • (24•54)
    10

Step  3  :

 3.1     10 = 2•5

(10)⁷ = (2•5)⁷ = 2⁷ • 5⁷

Equation at the end of step  3  :

    32
  ((—— • (27•57)) • 2) • (24•54)
    10

Step  4  :

            16
 Simplify   ——
            5 

Equation at the end of step  4  :

    16
  ((—— • (27•57)) • 2) • (24•54)
    5 

Step  5  :

Multiplying exponents :

 5.1    2⁴  multiplied by  2⁷   = 2^{(4 + 7)} = 2¹¹

Dividing exponents :

 5.2    5⁷   divided by   5¹   = 5^{(7 - 1)} = 5⁶

Equation at the end of step  5  :

  ((211•56) • 2) • (24•54)

Step  6  :

Multiplying exponents :

 6.1    2¹¹  multiplied by  2¹   = 2^{(11 + 1)} = 2¹²

Equation at the end of step  6  :

  (212•56) • (24•54)

Step  7  :

Multiplying exponents :

 7.1    2¹²  multiplied by  2⁴   = 2^{(12 + 4)} = 2¹⁶

Multiplying exponents :

 7.2    5⁶  multiplied by  5⁴   = 5^{(6 + 4)} = 5¹⁰

Final result :

  (216•510)