Answer:
The simplified expression is [tex]\frac{m^3n^4}{3}[/tex].
Step-by-step explanation:
Consider the provided expression.
[tex]\frac{7m^4n^4}{21m}[/tex]
Here, 7 is common in numerator and denominator, so cancel out the common factor as shown:
[tex]\frac{m^4n^4}{3m}[/tex]
In order to solve the above expression use the quotient rule of exponent:
[tex]\frac{a^m}{a^n}=a^{m-n}[/tex]
By using the above rule.
[tex]\frac{m^{4-1}n^4}{3}[/tex]
[tex]\frac{m^3n^4}{3}[/tex]
Hence, the simplified expression is [tex]\frac{m^3n^4}{3}[/tex].
