Simplify (2^3)(3)^2(2^-3)

$(2^{3}) {(3)}^{2} (2^{- 3})$

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

Move $2^{- 3}$ .

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

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

$2^{- 3 + 3} {(3)}^{2}$

Add $- 3$ and $3$ .

$2^{0} {(3)}^{2}$

Simplify $2^{0} {(3)}^{2}$ .

${(3)}^{2}$

Raise $3$ to the power of $2$ .

$9$