Define the exponentiation operator on naturals recursively so that x0 = 1 and xS(y) = xy · x. Prove by induction, using this definition, that for any naturals x, y, and z, xy+z = xy · xz and xy·z = (xy)z.

Rita wants to buy sweater that was originally priced at $25 today the sweater is on sale for 40% off the original price what is the sale price of the sweater. rita has a coupon for an addition 10% off the sale price. how much will rita pay for the sweater before taxes

17 in long 1.3 ft wide and 8in high what is the volume

The number of branches on a tree demonstrates the fibonacci sequence. how many branches would there be on the next two levels of this tree? 13 | | | m branches