Pharaohs in the new kingdom were more powerful than pharaohs of the old kingdom.

a. descended from a line of babylonian kings.
b. set on the throne by the roman emperor julius caesar.
c. more vigorous in their attempts to extend egyptian authority beyond the nile valley and delta.
d. sacrificed at age thirty-two to insure a bountiful harvest.

D. More vigorous in their attempts to extend Egyptian authority beyond the Nile valley and delta

Explanation:

The new kingdom lasted from 1520 BC to 1075 BC, it is called as the golden age of Ancient Egypt. It was a period of Prosperity, power and wealth. The Eighteenth, Nineteenth and Twentieth dynasties rule the New Kingdom and some of the most powerful and famous Pharaohs ruled during this period.  

The Egyptian empire conquered most of the land during the new kingdom as pharaohs took over the land to the south and east.  Egyptian trade also extended with other regions. The mining of gold mines of Nubia made them wealthy.

The New Kingdom was succeeded by second Intermediate Period  and Hyksos ruled the northern Egypt. The Hyksos were defeated by Ahmose First, he became the king of Lower Egypt around 1540 BC.