Simplify 22^38

$2 \cdot 2^{3} \cdot 8$

Multiply $2$ by $2^{3}$ by adding the exponents.

Multiply $2$ by $2^{3}$ .

Raise $2$ to the power of $1$ .

$2^{1} \cdot 2^{3} \cdot 8$

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

$2^{1 + 3} \cdot 8$

Add $1$ and $3$ .

$2^{4} \cdot 8$

Raise $2$ to the power of $4$ .

$16 \cdot 8$

Multiply $16$ by $8$ .

$128$

Simplify 2*2^3*8