Question

Which expression is equivalent to

Answer 1

Answer: c

Step-by-step explanation: just took it

Answer 2

Answer:


`(3)/(5) m^2 |n|^(3)`


1) given


`\sqrt{ (225)/(625)m^4n^6 }`

2) factor 225 and 625


`225=15^2 625=25^2 \sqrt{ (15^2)/(25^2)m^4n^6 }`

3) extract the factors from the radical dividing the exponents by the index of the radical

2/2 = 1 => exponent = 1 =>
`(15)/(25)`

4/2 = 2 => exponent = 2 =>
`m^(2)`

6/2 = 3 => exponent = 3=>
`n^(3)`



`(15)/(25) m^2n^3`

4) simplify the fraction 15/25 = 3/5

=>


`(3)/(5) m^2n^3`

and you add the absolute symbols | | because it can only be positive.