Question

Simplify this expression

Answer 1

The simplified expression is
`(m^3n^4)/(3)`.

Explanation:

Consider the provided expression.

`(7m^4n^4)/(21m)`

Here, 7 is common in numerator and denominator, so cancel out the common factor as shown:

`(m^4n^4)/(3m)`

In order to solve the above expression use the quotient rule of exponent:

`(a^m)/(a^n)=a^(m-n)`

By using the above rule.

`(m^(4-1)n^4)/(3)`

`(m^3n^4)/(3)`

Hence, the simplified expression is
`(m^3n^4)/(3)`.

Answer 2

1/3 * m^3 n^4

Explanation:

7 m^4 n^4

-------------

21 m

Split into parts

7/21 = 1/3

We know that a^b/ a^c = a^(b-c)

m^4/m = m^(4-1) = m^3

1/3 * m^3 n^4