Find the Exact Value 2^32^62

$2^{3} \cdot 2^{6} \cdot 2$

Step 1

Multiply $2^{3}$ by $2^{6}$ by adding the exponents.

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

$2^{3 + 6} \cdot 2$

Add $3$ and $6$ .

$2^{9} \cdot 2$

Step 2

Multiply $2^{9}$ by $2$ by adding the exponents.

Multiply $2^{9}$ by $2$ .

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

$2^{9} \cdot 2^{1}$

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

$2^{9 + 1}$

Add $9$ and $1$ .

$2^{10}$

Step 3

Raise $2$ to the power of $10$ .

$1024$

Find the Exact Value 2^3*2^6*2