Question

105x^6y^5+70x^7y^11/35x^7y^4

Answer 1

`3(y)/(x) + 2y^(7)`

Explanation:

We have to simplify the expression as given below:

`(105x^(6)y^(5) + 70x^(7)y^(11))/(35x^(7)y^(4)  )`

As we know that
`(a + b)/(c) = (a)/(c)  + (b)/(c)`

=
`(105x^(6)y^(5))/(35x^(7)y^(4)) + (70x^(7)y^(11))/(35x^(7)y^(4))`

As we know the property of exponent
`(x^(a) )/(x^(b) ) = x^(a - b)`

=
`3x^(6 - 7)y^(5 - 4)  + 2x^(7 - 7) y^(11 - 4)`

=
`3x^(-1)y^(1) + 2x^(0) y^(7)`

As we know the properties of exponents
`a^(-b) = (1)/(a^(b) )` and
`a^(0) = 1`

=
`3(y)/(x) + 2y^(7)` (Answer)