#### 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.