Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-2" was replaced by "^(-2)". 1 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

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  :

  )1
  ——
  25

Step  3  :

 3.1     10 = 2•5

(10)^-4 = (2•5)^(-4) = (2)^(-4) • (5)^(-4)

Equation at the end of step  3  :

  )1
  ——
  25

Step  4  :

Dividing exponents :

 4.1    2³   divided by   2⁴   = 2^{(3 - 4)} = 2^(-1) = ¹/_2¹ = ¹/₂

Equation at the end of step  4  :

    1     1
  ———— ÷ ——
  1250   25

Step  5  :

           1        1
 Divide  ————  by  ——
         1250      25

 5.1    Dividing fractions

To divide fractions, write the divison as multiplication by the reciprocal of the divisor :

  1       1         1      25
————  ÷  ——   =   ————  •  ——
1250     25       1250     1 

Final result :

   1           
  —— = 0.02000 
  50