Evaluate 3^13^03^3

$3^{1} \cdot 3^{0} \cdot 3^{3}$

Step 1

Multiply $3^{1}$ by $3^{0}$ by adding the exponents.

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

$3^{1 + 0} \cdot 3^{3}$

Add $1$ and $0$ .

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

Step 2

Simplify $3^{1} \cdot 3^{3}$ .

$3 \cdot 3^{3}$

Step 3

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

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

Raise $3$ to the power of $1$ .

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

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

$3^{1 + 3}$

Add $1$ and $3$ .

$3^{4}$

Step 4

Raise $3$ to the power of $4$ .

$81$

Evaluate 3^1*3^0*3^3