The radius of a large sphere is 8 times the radius of a small sphere. the surface area of the large sphere is how many times the surface area of the small sphere?

Large sphere's radius = R,

small sphere's radius = r, R = 8r

surface area of a sphere (SA) = 4*pi*radius^2

So what we need is the SA of the larger in terms of the smaller sphere, so if:

SA (of R) = 4*pi*R^2, then plug in "8r" for "R" ...

SA = 4*pi * (8r) ^2 = 4*3.14*64r^2

SA = 12.57*64r^2 = 804 r^2

Therefore the SA of the larger sphere is 804 times the SA of the smaller sphere.

I hope that makes sense!