First, we need to find the amount in moles of each substance. WE have the mass for each so we use the formula:
n=mM
Where n is the amount of the substance in moles, m is the mass of the substance, and M is the molar mass or molecular mass of the substance, which we can find by looking at the atomic mass on a periodic table so:
n(Cu)=8.882g63.546gmol−1=0.139772763mol
and:
n(O)=10g−8.882g15.9994gmol−1=0.06987762041mol
Now we find the ratio of the copper and oxygen by dividing both values by the lowest value:
Cu:O=0.139772763mol0.06987762041mol:0.06987762041mol0.06987762041mol
=1.999535219:1
The value of 1.999535219 can be rounded to 4 significant figures to get a ratio of 2:1, as the figures in the question are given to 4 s.f.
From this ratio we can get the empirical formula of Cu2O