Answer: [tex]\frac{n^{5}}{7m^{4}}[/tex]
Step-by-step explanation:
1. You have the following expression given in the problem above:
[tex]\frac{4mn^{8}}{28m^{5}n^{3}}[/tex]
2. To find an expression that is equal to the expression shown in the problem, you can simplify it:
- As you can see, 4 and 28 are divisible by 4.
- You need to apply the exponents properties. To divide two powers with the same base, you must subtract the exponents.
3. Keeping this on mind, you have:
[tex]\frac{n^{(8-3)}}{7m^{(5-1)}}=\frac{n^{5}}{7m^{4}}[/tex]