Question

16m^2n÷25m^2n×7m^2n

Which of the following is equivalent to the expression above?

a) 2m^2n
b) 9m^2n
c) 16m^2n
d) 18m^2n

Answer 1

The simplified expression is
`112m^6n^3/25`. None of the given options is answer.

Step-by-step explanation:

The expression can be simplified by combining like terms and applying the distributive property.

Here are the steps involved in simplifying the expression:

Rewrite the expression to group like terms together:

`16m^2n/25 * 7m^2n * m^2n`

Apply the distributive property:

`(7 * 16m^2n) / (25 * m^2n * m^2n)`

Combine like terms:

`112m^6n^3 / 25m^4n^2`

Cancel common factors:

`112m^6n^3 / 25m^2n`

Therefore, the simplified expression is
`112m^6n^3/25`. None of the given options is answer.