Simplify (4g^4)/(7h^5)*(8h^6)/(3g^5)

$\frac{4 g^{4}}{7 h^{5}} \cdot \frac{8 h^{6}}{3 g^{5}}$

Step 1

Combine.

$\frac{4 g^{4} (8 h^{6})}{7 h^{5} (3 g^{5})}$

Step 2

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

Factor $g^{4}$ out of $4 g^{4} (8 h^{6})$ .

$\frac{g^{4} (4 (8 h^{6}))}{7 h^{5} (3 g^{5})}$

Cancel the common factors.

Factor $g^{4}$ out of $7 h^{5} (3 g^{5})$ .

$\frac{g^{4} (4 (8 h^{6}))}{g^{4} (7 h^{5} (3 g))}$

Cancel the common factor.

$\frac{g^{4} (4 (8 h^{6}))}{g^{4} (7 h^{5} (3 g))}$

Rewrite the expression.

$\frac{4 (8 h^{6})}{7 h^{5} (3 g)}$

Step 3

Cancel the common factor of $h^{6}$ and $h^{5}$ .

Factor $h^{5}$ out of $4 (8 h^{6})$ .

$\frac{h^{5} (4 (8 h))}{7 h^{5} (3 g)}$

Cancel the common factors.

Factor $h^{5}$ out of $7 h^{5} (3 g)$ .

$\frac{h^{5} (4 (8 h))}{h^{5} (7 (3 g))}$

Cancel the common factor.

$\frac{h^{5} (4 (8 h))}{h^{5} (7 (3 g))}$

Rewrite the expression.

$\frac{4 (8 h)}{7 (3 g)}$

Step 4

Multiply.

Multiply $4$ by $8$ .

$\frac{32 h}{7 \cdot 3 g}$

Multiply $7$ by $3$ .

$\frac{32 h}{21 g}$