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  :

Equation at the end of step  3  :

   576
  (——— • (107)) ÷ (32•24•54)
   100

Step  4  :

 4.1     10 = 2•5

(10)⁷ = (2•5)⁷ = 2⁷ • 5⁷

Equation at the end of step  4  :

   576
  (——— • (27•57)) ÷ (32•24•54)
   100

Step  5  :

            144
 Simplify   ———
            25 

Equation at the end of step  5  :

  144
  ——— • (27•57)) ÷ (32•24•54)
  25 

Step  6  :

Multiplying exponents :

 6.1    2⁴  multiplied by  2⁷   = 2^{(4 + 7)} = 2¹¹

Dividing exponents :

 6.2    5⁷   divided by   5²   = 5^{(7 - 2)} = 5⁵

Equation at the end of step  6  :

Step  7  :

            (211•32•55)
 Simplify   ———————————
            (32•24•54) 

Dividing exponents :

 7.1    2¹¹   divided by   2⁴   = 2^{(11 - 4)} = 2⁷

Canceling Out :

 7.2      Canceling out  3² as it appears on both sides of the fraction line

Dividing exponents :

 7.3    5⁵   divided by   5⁴   = 5^{(5 - 4)} = 5¹ = 5

Final result :

  640