Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "9." was replaced by "(9/1)". 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  :

    576        9
  ((———•(107))•—)•(24•54)
    100        1

Step  2  :

            9
 Simplify   —
            1

Equation at the end of step  2  :

    576
  ((——— • (107)) • 9) • (24•54)
    100

Step  3  :

 3.1     10 = 2•5

(10)⁷ = (2•5)⁷ = 2⁷ • 5⁷

Equation at the end of step  3  :

    576
  ((——— • (27•57)) • 9) • (24•54)
    100

Step  4  :

            144
 Simplify   ———
            25 

Equation at the end of step  4  :

    144
  ((——— • (27•57)) • 9) • (24•54)
    25 

Step  5  :

Multiplying exponents :

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

Dividing exponents :

 5.2    5⁷   divided by   5²   = 5^{(7 - 2)} = 5⁵

Equation at the end of step  5  :

  ((211•32•55) • 9) • (24•54)

Step  6  :

Multiplying exponents :

 6.1    3²  multiplied by  3²   = 3^{(2 + 2)} = 3⁴

Equation at the end of step  6  :

  (211•34•55) • (24•54)

Step  7  :

Multiplying exponents :

 7.1    2¹¹  multiplied by  2⁴   = 2^{(11 + 4)} = 2¹⁵

Multiplying exponents :

 7.2    5⁵  multiplied by  5⁴   = 5^{(5 + 4)} = 5⁹

Final result :

  (215•34•59)