Simplify a^5(3b^9)(6a)

$a^{5} \cdot (3 b^{9}) \cdot (6 a)$

Step 1

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

Move $a$ .

$a \cdot a^{5} \cdot (3 b^{9}) \cdot 6$

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

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

$a^{1} a^{5} \cdot (3 b^{9}) \cdot 6$

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

$a^{1 + 5} \cdot (3 b^{9}) \cdot 6$

Add $1$ and $5$ .

$a^{6} \cdot (3 b^{9}) \cdot 6$

Step 2

Rewrite using the commutative property of multiplication.

$3 a^{6} b^{9} \cdot 6$

Step 3

Multiply $6$ by $3$ .

$18 a^{6} b^{9}$

Simplify a^5*(3b^9)*(6a)