Answer
The astronaut's weight in deep space is zero and her mass is 70 kg.
Work Step by Step
Her weight is zero because she is not experiencing any gravitational force, which means that $g=0 m/s^{2}$. When plugged into the formula $w=mg$, the resulting weight (w) is zero.
Her mass is still 70 kg because mass is unaffected by gravitational force and remains constant no matter where an object is.