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

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  :

Multiplying exponents :

 4.1    2¹  multiplied by  2⁷   = 2^{(1 + 7)} = 2⁸

Equation at the end of step  4  :

Step  5  :

            (28•57)
 Simplify   ———————
            (28•55)

Canceling Out :

 5.1      Canceling out  2⁸ as it appears on both sides of the fraction line

Dividing exponents :

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

Final result :

  25