Question

5. A rectangular area of land is being sold off in smaller pieces. The total area of the land is 2 to the power of 15 square miles. The pieces
being sold are 8³ square miles in size. How many smaller pieces of land can be sold at the stated size? Compute the
actual number of pieces.

Answer 1

Answer:

$64 \: pieces$

Step-by-step explanation:

$total \: = {2}^{15} \: square \: miles \\ sold \: = {8}^{3}=({2}^{3})^{3} = {2}^{9}square\:miles$

${2}^{15} \div {2}^{9} = {2}^{6} = 64$