Solution - Power equations

Step  1  :

 1.1     10 = 2•5

(10)¹ = (2•5)¹ = 2 • 5

Equation at the end of step  1  :

Step  2  :

Raising to a Power :

 2.1    2²  multiplied by  2¹   = 2^{(2 + 1)} = 2³

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   ———————
            (23•5) 

Dividing exponents :

 5.1    2⁸   divided by   2³   = 2^{(8 - 3)} = 2⁵

Dividing exponents :

 5.2    5⁷   divided by   5¹   = 5^{(7 - 1)} = 5⁶

Final result :

  (25•56)