Simplify (6x^3)/7*(4x^3)/3

$\frac{6 x^{3}}{7} \cdot \frac{4 x^{3}}{3}$

Step 1

Combine.

$\frac{6 x^{3} (4 x^{3})}{7 \cdot 3}$

Step 2

Multiply $x^{3}$ by $x^{3}$ by adding the exponents.

Move $x^{3}$ .

$\frac{6 (x^{3} x^{3}) \cdot 4}{7 \cdot 3}$

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

$\frac{6 x^{3 + 3} \cdot 4}{7 \cdot 3}$

Add $3$ and $3$ .

$\frac{6 x^{6} \cdot 4}{7 \cdot 3}$

Step 3

Cancel the common factor of $6$ and $3$ .

Factor $3$ out of $6 x^{6} \cdot 4$ .

$\frac{3 (2 x^{6} \cdot 4)}{7 \cdot 3}$

Cancel the common factors.

Factor $3$ out of $7 \cdot 3$ .

$\frac{3 (2 x^{6} \cdot 4)}{3 \cdot 7}$

Cancel the common factor.

$\frac{3 (2 x^{6} \cdot 4)}{3 \cdot 7}$

Rewrite the expression.

$\frac{2 x^{6} \cdot 4}{7}$

Step 4

Multiply $4$ by $2$ .

$\frac{8 x^{6}}{7}$