Simplify (24y^3y^2)/(8y^6*3y^3)

$\frac{24 y^{3} y^{2}}{8 y^{6} \cdot 3 y^{3}}$

Multiply $y^{3}$ by $y^{2}$ by adding the exponents.

Move $y^{2}$ .

$\frac{24 (y^{2} y^{3})}{8 y^{6} \cdot (3 y^{3})}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{24 y^{2 + 3}}{8 y^{6} \cdot (3 y^{3})}$

Add $2$ and $3$ .

$\frac{24 y^{5}}{8 y^{6} \cdot (3 y^{3})}$

Multiply $y^{6}$ by $y^{3}$ by adding the exponents.

Move $y^{3}$ .

$\frac{24 y^{5}}{8 (y^{3} y^{6}) \cdot 3}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{24 y^{5}}{8 y^{3 + 6} \cdot 3}$

Add $3$ and $6$ .

$\frac{24 y^{5}}{8 y^{9} \cdot 3}$

Cancel the common factor of $24$ and $8$ .

Factor $8$ out of $24 y^{5}$ .

$\frac{8 (3 y^{5})}{8 y^{9} \cdot 3}$

Cancel the common factors.

Factor $8$ out of $8 y^{9} \cdot 3$ .

$\frac{8 (3 y^{5})}{8 (y^{9} \cdot 3)}$

Cancel the common factor.

$\frac{8 (3 y^{5})}{8 (y^{9} \cdot 3)}$

Rewrite the expression.

$\frac{3 y^{5}}{y^{9} \cdot 3}$

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y^{5}}{y^{9} \cdot 3}$

Rewrite the expression.

$\frac{y^{5}}{y^{9}}$

Cancel the common factor of $y^{5}$ and $y^{9}$ .

Multiply by $1$ .

$\frac{y^{5} \cdot 1}{y^{9}}$

Cancel the common factors.

Factor $y^{5}$ out of $y^{9}$ .

$\frac{y^{5} \cdot 1}{y^{5} y^{4}}$

Cancel the common factor.

$\frac{y^{5} \cdot 1}{y^{5} y^{4}}$

Rewrite the expression.

$\frac{1}{y^{4}}$