Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "6.4" was replaced by "(64/10)".

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

                  64
  (3 • (101)) +  (—— • (22•52))
                  10

Step  2  :

            32
 Simplify   ——
            5 

Equation at the end of step  2  :

                  32
  (3 • (101)) +  (—— • (22•52))
                  5 

Step  3  :

Multiplying exponents :

 3.1    2⁵  multiplied by  2²   = 2^{(5 + 2)} = 2⁷

Raising to a Power :

 3.2    5²   divided by   5¹   = 5^{(2 - 1)} = 5¹ = 5

Equation at the end of step  3  :

  (3 • (101)) +  640

Step  4  :

 4.1     10 = 2•5

(10)¹ = (2•5)¹ = 2 • 5

Equation at the end of step  4  :

  (3 • (2•5)) +  640

Step  5  :

Equation at the end of step  5  :

  (3•2•5) +  640

Step  6  :

Final result :

  670