4g^2+9/h^2+7g^2+4/h^2+1

   11g2h2 + h2 + 13

 ———————————

                h2      

Step-by-step explanation:

Step  1  :

            4

Simplify   ——

           h2

Equation at the end of step  1  :

               9              4

 4•(g2))+————)+(7•(g2)))+——)+1

             (h2)            h2

Step  2  :

Equation at the end of step  2  :

               9         4

 4•(g2))+————)+7g2)+——)+1

             (h2)       h2

Step  3  :

            9

Simplify   ——

           h2

Equation at the end of step  3  :

              9        4

 4•(g2))+——)+7g2)+——)+1

             h2       h2

Step  4  :

Equation at the end of step  4  :

             9              4    

 (((22g2 +  ——) +  7g2) +  ——) +  1

            h2             h2    

Step  5  :

Rewriting the whole as an Equivalent Fraction :

5.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  h2  as the denominator :

            22g2     22g2 • h2

    22g2 =  ————  =  —————————

             1          h2    

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 :

5.2       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:

22g2 • h2 + 9     4g2h2 + 9

—————————————  =  —————————

     h2              h2    

Equation at the end of step  5  :

   (4g2h2 + 9)             4    

 ((——————————— +  7g2) +  ——) +  1

       h2                 h2    

Step  6  :

Rewriting the whole as an Equivalent Fraction :

6.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  h2  as the denominator :

          7g2     7g2 • h2

   7g2 =  ———  =  ————————

           1         h2  

Adding fractions that have a common denominator :

6.2       Adding up the two equivalent fractions

(4g2h2+9) + 7g2 • h2      11g2h2 + 9

————————————————————  =  ——————————

         h2                  h2    

Equation at the end of step  6  :

  (11g2h2 + 9)     4    

 (———————————— +  ——) +  1

       h2         h2    

Step  7  :

Adding fractions which have a common denominator :

7.1       Adding fractions which have a common denominator

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

(11g2h2+9) + 4     11g2h2 + 13

——————————————  =  ———————————

      h2               h2    

Equation at the end of step  7  :

 (11g2h2 + 13)    

 ————————————— +  1

      h2          

Step  8  :

Rewriting the whole as an Equivalent Fraction :

8.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  h2  as the denominator :

        1     1 • h2

   1 =  —  =  ——————

        1       h2  

Adding fractions that have a common denominator :

8.2       Adding up the two equivalent fractions

(11g2h2+13) + h2     11g2h2 + h2 + 13

————————————————  =  ————————————————

       h2                   h2      

Trying to factor a multi variable polynomial :

8.3    Factoring    11g2h2 + h2 + 13

Try to factor this multi-variable trinomial using trial and error

Factorization fails

Final result :

 11g2h2 + h2 + 13

 ————————————————

        h2      

Processing ends successfully

plz mark me as brainliest :)

When there is multiplication, we add the powers.. But when there is division, we subtract the powers. Therefore:

3^8 x 3^4 is 3^8+4= 3^12 (this is the numerator)

3^2x3^8 is 3^ 2+8= 3^10 (this is the denominator)

Now since there is a division bar we obviously have to divide the numerator: 3^12 by the denominator: 3^10. [Remember division requires subtraction of powers] therefore:
3^12 \ 3^10 = 3^12-10
= 3^2. (=9)
And is not given as 9 since it is not in index form therefor answer is 3 power of 2 (3^2)
Hope this is helpful for you!