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Taya2010 [7]
3 years ago
14

A rectangular area of land is being sold off in smaller pieces. The total area of the land is 2^15 square miles. The pieces bein

g sold are 8^3 square miles in size. How many smaller pieces of land can be sold at the stated size? Compute the actual number of pieces.
Mathematics
2 answers:
DENIUS [597]3 years ago
6 0

Answer:

64

Step-by-step explanation:

We have been given that the total area of the land is 2^15 square miles. The pieces being sold are 8^3 square miles in size.

The number of smaller pieces of land will the quotient of total area and area of each small piece.

\text{Number of smaller pieces of land}=\frac{2^{15}}{8^3}

We can rewrite 8^3 as 8^3=(2^3)^3=2^{3*3}=2^9

\text{Number of smaller pieces of land}=\frac{2^{15}}{2^9}

Using quotient property of exponents, we will get:

\text{Number of smaller pieces of land}=2^{15-9}

\text{Number of smaller pieces of land}=2^{6}

\text{Number of smaller pieces of land}=64

Therefore, 64 smaller pieces of land can be sold at the stated size.

Nesterboy [21]3 years ago
4 0
Total area of the rectangular land = 2^15 sq. miles
                                                     = 32768 sq. miles

total area of the pieces being sold = 8^3 sq. miles
                                                       = 512 sq. miles

now total no. of pieces = total area of the land / the area of samaller land that's                                                                                     being sold
                                     = 32768 / 512
                                     = 64

so the actual number of pieces is 64
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