Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.88" was replaced by "(288/100)".

Step  1  :

 1.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  1  :

   288
  (——— • (25•55)) • 1000
   100

Step  2  :

            72
 Simplify   ——
            25

Equation at the end of step  2  :

   72
  (—— • (25•55)) • 1000
   25

Step  3  :

Multiplying exponents :

 3.1    2³  multiplied by  2⁵   = 2^{(3 + 5)} = 2⁸

Dividing exponents :

 3.2    5⁵   divided by   5²   = 5^{(5 - 2)} = 5³

Equation at the end of step  3  :

  (28•32•53) • 1000

Step  4  :

Multiplying exponents :

 4.1    2⁸  multiplied by  2³   = 2^{(8 + 3)} = 2¹¹

Multiplying exponents :

 4.2    5³  multiplied by  5³   = 5^{(3 + 3)} = 5⁶

Final result :

  (211•32•56)