Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.6" was replaced by "(16/10)".

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

                 16
  (5 • (105)) • (—— • (22•52))
                 10

Step  2  :

            8
 Simplify   —
            5

Equation at the end of step  2  :

                 8
  (5 • (105)) • (— • (22•52))
                 5

Step  3  :

Multiplying exponents :

 3.1    2³  multiplied by  2²   = 2^{(3 + 2)} = 2⁵

Raising to a Power :

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

Equation at the end of step  3  :

  (5 • (105)) • 160

Step  4  :

 4.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  4  :

  (5 • (25•55)) • 160

Step  5  :

Multiplying exponents :

 5.1    5¹  multiplied by  5⁵   = 5^{(1 + 5)} = 5⁶

Equation at the end of step  5  :

  (56•25) • 160

Step  6  :

Multiplying exponents :

 6.1    5⁶  multiplied by  5¹   = 5^{(6 + 1)} = 5⁷

Multiplying exponents :

 6.2    2⁵  multiplied by  2⁵   = 2^{(5 + 5)} = 2¹⁰

Final result :

  (57•210)