ANSWER:
[tex]\bold{\text { The quotient of } \frac{y^{9}}{y^{3}} \text { is } y^{6}}[/tex]
SOLUTION:
Given that find the quotient of:
[tex]y^{\wedge} 9 \div y^{\wedge} 3[/tex]
[tex]\text { So, we have to find the quotient of } \frac{y^{9}}{y^{3}}[/tex]
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.
[tex]\text { Here we can neglect remainder, as } y^{9} \text { is multiple of } y^{3}[/tex]
Let the quotient be x,
[tex]\begin{array}{l}{\text { Then }_{}\left(y^{3}\right)(x)=y^{9}} \\\\ {x=\frac{y^{9}}{y^{3}}=y^{9-3}=y^{6}} \\\\ {\text { Hence, the quotient of } \frac{y^{9}}{y^{3}} \text { is } y^{6}}\end{array}[/tex]
