## Algebra 1

$d^{19}$
We start with the given expression: $d(d^{-2})^{-9}$ We use the order of operations to simplify: First, we simplify powers. To raise a power to a power, we multiply the exponents: $dd^{18}$ Then, we multiply. To multiply powers with the same base, we add the exponents: $d^{19}$