Question

Find the quotient. y^9 ÷ y^3

Answer 1

y^6

Explanation:

Answer 2

`\bold{\text { The quotient of } (y^(9))/(y^(3)) \text { is } y^(6)}`

SOLUTION:

Given that find the quotient of:

`y^(\wedge) 9 / y^(\wedge) 3`

`\text { So, we have to find the quotient of } (y^(9))/(y^(3))`

We know that, quotient is the factor by which the dividend is divided by divisor.

So, the product of divisor and dividend should be equal to dividend.

`\text { Here we can neglect remainder, as } y^(9) \text { is multiple of } y^(3)`

Let the quotient be x,

`\begin{array}{l}{\text { Then }_{}\left(y^(3)\right)(x)=y^(9)} \\\\ {x=(y^(9))/(y^(3))=y^(9-3)=y^(6)} \\\\ {\text { Hence, the quotient of } (y^(9))/(y^(3)) \text { is } y^(6)}\end{array}`