Q:

Simplify.8g^7h^-3 / 2g4h8A. g^3 / 4h^5B. 4g^3 / h^11C.4g^3h^5D. 4h^11 / g^3

Accepted Solution

A:
The answer is:  [B]:  "4g³ / h¹¹ " .
____________________________________________
Explanation:
____________________________________________
We are given:
____________________________________________

     [tex] \frac{8g^7h ^-^3{} }{2g^4h^8} [/tex]  ;  and asked to:

Simplify:
______________________________________________
We can rewrite the expression:

Note:  " 8/2 = 4 " ; 

          " g⁷ / g⁴ = g⁽⁷⁻⁴⁾ = g³ " ; 

          " h⁽⁻³⁾ / h⁸ = h⁽⁻³ ⁻ ⁸⁾ = h⁻¹¹ =  1/ h¹¹  ;

We can rewrite the expression as:
___________________________________________________
    " [tex] \frac{4g^3}{h^1^1} [/tex] " ; which is:  Answer choice:  [B] .
____________________________________________________