Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-2" was replaced by "^(-2)".

(2): "2.92" was replaced by "(292/100)".

Step  1  :

 1.1     10 = 2•5

(10)^-2 = (2•5)^(-2) = (2)^(-2) • (5)^(-2)

Equation at the end of step  1  :

   292
  (——— • (106)) ÷ (4 • ((2)(-2)•(5)(-2)))
   100

Step  2  :

Raising to a Power :

 2.1      Canceling out  2² as it appears on both sides of the fraction line

Equation at the end of step  2  :

   292             1
  (——— • (106)) ÷ ——
   100            25

Step  3  :

 3.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  3  :

   292               1
  (——— • (26•56)) ÷ ——
   100              25

Step  4  :

            73
 Simplify   ——
            25

Equation at the end of step  4  :

  73               1
  —— • (26•56)) ÷ ——
  25              25

Step  5  :

Dividing exponents :

 5.1    5⁶   divided by   5²   = 5^{(6 - 2)} = 5⁴

Equation at the end of step  5  :

  )1
  ——
  25

Step  6  :

                          1
 Divide  (73•26•54)  by  ——
                         25

Multiplying exponents :

 6.1    5⁴  multiplied by  5²   = 5^{(4 + 2)} = 5⁶

Final result :

  (73•26•56)