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    2¹  multiplied by  2⁵   = 2^{(1 + 5)} = 2⁶

Equation at the end of step  2  :

Step  3  :

 3.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  3  :

Step  4  :

Equation at the end of step  4  :

Step  5  :

            (3•25•55)
 Simplify   —————————
            (26•3•55)

Canceling Out :

 5.1      Canceling out  3  as it appears on both sides of the fraction line

Dividing exponents :

 5.2    2⁵   divided by   2⁶   = 2^{(5 - 6)} = 2^(-1) = ¹/_2¹ = ¹/₂

Canceling Out :

 5.3      Canceling out  5⁵ as it appears on both sides of the fraction line

Final result :

  1           
  — = 0.50000 
  2