Simplify (12g^8h^4)/(g^3*h^5)

$\frac{12 \cdot g^{8} \cdot h^{4}}{g^{3} \cdot h^{5}}$

Step 1

Cancel the common factor of $g^{8}$ and $g^{3}$ .

Factor $g^{3}$ out of $12 \cdot g^{8} \cdot h^{4}$ .

$\frac{g^{3} (12 \cdot g^{5} \cdot h^{4})}{g^{3} \cdot h^{5}}$

Cancel the common factors.

Factor $g^{3}$ out of $g^{3} \cdot h^{5}$ .

$\frac{g^{3} (12 \cdot g^{5} \cdot h^{4})}{g^{3} (h^{5})}$

Cancel the common factor.

$\frac{g^{3} (12 \cdot g^{5} \cdot h^{4})}{g^{3} h^{5}}$

Rewrite the expression.

$\frac{12 \cdot g^{5} \cdot h^{4}}{h^{5}}$

Step 2

Cancel the common factor of $h^{4}$ and $h^{5}$ .

Factor $h^{4}$ out of $12 \cdot g^{5} \cdot h^{4}$ .

$\frac{h^{4} \cdot (12 \cdot g^{5})}{h^{5}}$

Cancel the common factors.

Factor $h^{4}$ out of $h^{5}$ .

$\frac{h^{4} \cdot (12 \cdot g^{5})}{h^{4} h}$

Cancel the common factor.

$\frac{h^{4} \cdot (12 \cdot g^{5})}{h^{4} h}$

Rewrite the expression.

$\frac{12 \cdot g^{5}}{h}$

$\frac{12 g^{5}}{h}$

Simplify (12*g^8*h^4)/(g^3*h^5)