Question

Find the value of N please!!

Answer 1

What my mans above said

Answer 2

n = - 5

Explanation:

Using the rules of exponents

`a^(m)` ×
`a^(n)` ⇔
`a^((m+n))`

`(a^(m) )/(a^(n) )` ⇔
`a^((m-n))`

Consider the left side

`(y^4.y^(n) )/(y^2)`

=
`(y^(4+n) )/(y^2)`

=
`y^(4+n-2)`

=
`y^(2+n)`, then

`y^(2+n)` =
`y^(-3)`

Since the bases on both sides are the same, equate the exponents

2 + n = - 3 ( subtract 2 from both sides )

n = - 5