Solution - Power equations

Step  1  :

 1.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  1  :

Step  2  :

Raising to a Power :

 2.1    2²  multiplied by  2⁵   = 2^{(2 + 5)} = 2⁷

Equation at the end of step  2  :

Step  3  :

 3.1     10 = 2•5

(10)⁷ = (2•5)⁷ = 2⁷ • 5⁷

Equation at the end of step  3  :

Step  4  :

Equation at the end of step  4  :

Step  5  :

            (7•27•57)
 Simplify   —————————
             (27•55) 

Canceling Out :

 5.1      Canceling out  2⁷ as it appears on both sides of the fraction line

Dividing exponents :

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

Final result :

  175