Simplify (4a*6a^5)/(8a^2)

$\frac{4 a \cdot 6 a^{5}}{8 a^{2}}$

Multiply $a$ by $a^{5}$ by adding the exponents.

Move $a^{5}$ .

$\frac{4 (a^{5} a) \cdot 6}{8 a^{2}}$

Multiply $a^{5}$ by $a$ .

Raise $a$ to the power of $1$ .

$\frac{4 (a^{5} a^{1}) \cdot 6}{8 a^{2}}$

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

$\frac{4 a^{5 + 1} \cdot 6}{8 a^{2}}$

$\frac{4 a^{5 + 1} \cdot 6}{8 a^{2}}$

Add $5$ and $1$ .

$\frac{4 a^{6} \cdot 6}{8 a^{2}}$

$\frac{4 a^{6} \cdot 6}{8 a^{2}}$

Cancel the common factor of $4$ and $8$ .

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

$\frac{4 (a^{6} \cdot 6)}{8 a^{2}}$

Cancel the common factors.

Factor $4$ out of $8 a^{2}$ .

$\frac{4 (a^{6} \cdot 6)}{4 (2 a^{2})}$

Cancel the common factor.

$\frac{4 (a^{6} \cdot 6)}{4 (2 a^{2})}$

Rewrite the expression.

$\frac{a^{6} \cdot 6}{2 a^{2}}$

$\frac{a^{6} \cdot 6}{2 a^{2}}$

$\frac{a^{6} \cdot 6}{2 a^{2}}$

Cancel the common factor of $a^{6}$ and $a^{2}$ .

Factor $a^{2}$ out of $a^{6} \cdot 6$ .

$\frac{a^{2} (a^{4} \cdot 6)}{2 a^{2}}$

Cancel the common factors.

Factor $a^{2}$ out of $2 a^{2}$ .

$\frac{a^{2} (a^{4} \cdot 6)}{a^{2} \cdot 2}$

Cancel the common factor.

$\frac{a^{2} (a^{4} \cdot 6)}{a^{2} \cdot 2}$

Rewrite the expression.

$\frac{a^{4} \cdot 6}{2}$

$\frac{a^{4} \cdot 6}{2}$

$\frac{a^{4} \cdot 6}{2}$

Cancel the common factor of $6$ and $2$ .

Factor $2$ out of $a^{4} \cdot 6$ .

$\frac{2 (a^{4} \cdot 3)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$\frac{2 (a^{4} \cdot 3)}{2 (1)}$

Cancel the common factor.

$\frac{2 (a^{4} \cdot 3)}{2 \cdot 1}$

Rewrite the expression.

$\frac{a^{4} \cdot 3}{1}$

Divide $a^{4} \cdot 3$ by $1$ .

$a^{4} \cdot 3$

$a^{4} \cdot 3$

$a^{4} \cdot 3$

Move $3$ to the left of $a^{4}$ .

$3 a^{4}$

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