Simplify (3a)(3a)(3a)(3a)

$(3 a) (3 a) (3 a) (3 a)$

Step 1

Multiply $a$ by $a$ by adding the exponents.

Move $a$ .

$3 (a \cdot a) \cdot 3 (3 a) (3 a)$

Multiply $a$ by $a$ .

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

Step 2

Multiply $a^{2}$ by $a$ by adding the exponents.

Move $a$ .

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

Multiply $a$ by $a^{2}$ .

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

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

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

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

Add $1$ and $2$ .

$3 a^{3} \cdot 3 \cdot 3 (3 a)$

Step 3

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

Move $a$ .

$3 (a \cdot a^{3}) \cdot 3 \cdot 3 \cdot 3$

Multiply $a$ by $a^{3}$ .

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

$3 (a^{1} a^{3}) \cdot 3 \cdot 3 \cdot 3$

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

$3 a^{1 + 3} \cdot 3 \cdot 3 \cdot 3$

Add $1$ and $3$ .

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

Step 4

Multiply $3$ by $3$ .

$9 a^{4} \cdot 3 \cdot 3$

Step 5

Multiply $3$ by $9$ .

$27 a^{4} \cdot 3$

Step 6

Multiply $3$ by $27$ .

$81 a^{4}$