Evaluate the given expression. do not use a calculator
(5/4)^(-4)

When something has a negative power you must move it to the denominator to give it a positive power therefore this would then turn into 1/[(5/4)^4]  to simplify this (5/4)^4 would be (25/16)(25/16) then finally (625/256) so it would then look like this 1/(625/256) in order to not have a fraction in the denominator you would multiply; 1 x (256/625) which is 256/625.

(5/4)^(-4) = 1/(5/4)^4
1/(5/4)(5/4)(5/4)(5/4)
1/(625/256)
1/(2 113/256)
 256/625

Step-by-step explanation:

-24699              

 —————— = -24.69900  

  1000              

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "•" was replaced by "*".

(2): "*-5" was replaced by "*(-5)".

(3): "5.62" was replaced by "(562/100)". 4 more similar replacement(s)

Step by step solution :

Step  1  :

           281

Simplify   ———

           50  

Equation at the end of step  1  :

   829      62  562   281

 ((———•-5)•———)+——— ÷ ———

   100     100  100   50  

Step  2  :

           281

Simplify   ———

           50  

Equation at the end of step  2  :

   829      62  281   281

 ((———•-5)•———)+——— ÷ ———

   100     100  50    50  

Step  3  :

        281      281

Divide  ———  by  ———

        50       50  

3.1    Dividing fractions

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

281     281       281      50

———  ÷  ———   =   ———  •  ———

50      50        50      281

Equation at the end of step  3  :

   829          62      

 ((——— • -5) • ———) +  1

   100         100      

Step  4  :

           31

Simplify   ——

           50

Equation at the end of step  4  :

   829         31      

 ((——— • -5) • ——) +  1

   100         50      

Step  5  :

           829

Simplify   ———

           100

Equation at the end of step  5  :

   829         31      

 ((——— • -5) • ——) +  1

   100         50      

Step  6  :

Rewriting the whole as an Equivalent Fraction :

6.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  1000  as the denominator :

        1     1 • 1000

   1 =  —  =  ————————

        1       1000  

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 :

6.2       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:

-25699 + 1000     -24699

—————————————  =  ——————

    1000           1000  

Final result :

 -24699              

 —————— = -24.69900  

  1000              

Processing ends successfully