Question

If 5n=1_125 then value `n`is​

Answer 1

Answer:

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    5*n-(1/125)=0  

Step by step solution :

STEP

1

:

            1  

Simplify   ———

           125

Equation at the end of step

1

:

        1  

 5n -  ———  = 0  

       125

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  125  as the denominator :

          5n     5n • 125

    5n =  ——  =  ————————

          1        125    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

5n • 125 - (1)     625n - 1

——————————————  =  ————————

     125             125    

Equation at the end of step

2

:

 625n - 1

 ————————  = 0  

   125    

STEP

3

:

When a fraction equals zero :

3.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 625n-1

 —————— • 125 = 0 • 125

  125  

Now, on the left hand side, the  125  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  625n-1  = 0

Answer 2

5n=1_125

5n= -124

n= -24.8